Reference no: EM131110108

Surface areas and volume

Calculate volume of the cuboid

Q1: Find the volume of the cuboid given below:

[A] 342 cm³
[B] 340 cm³
[C] 18 cm³
[D] 37 cm³

Q2: What is the volume of the cuboid of the brick? (Given: length = 23cm, breadth = 10 cm, height = 12 cm)

[A] 2,765 cm³
[B] 2,760 cm³
[C] 2,340 cm³
[D] 2,901 cm³

Q3: The surface area of the three coterminous faces of a furniture is 5, 10, 20 sq.cm respectively. Find the volume of the cuboid.

[A] 2√10 cm³
[B] 20√10 cm³
[C] 40√10 cm³
[D] 10√10 cm³

Q4: Find the volume of this rectangular prism (cuboid). (Given: L = 2 cm, B = 10 cm, H = 30 cm.)

[A] 600 cm³
[B] 760 cm³
[C] 42 cm³
[D] 500 cm³

Q5: A plastic box 3.5 m long, 2 m wide and 20 m deep is to be made. Find its volume.
[A] 160 m³
[B] 70 m³
[C] 140 m³
[D] 50m³

Q6] Length, breadth and height of a room are 12 ft, 5 ft and 8ft respectively. Find the volume of the room.
[A] 840 ft³
[B] 880 ft³
[C] 800 ft³
[D] 500ft³

Q7] If the volume of a rectangular box is 600 in³ and the area of the box is 100 ft², find the height of the box.
[A] 10 in
[B] 20 in
[C] 30 in³
[D] 50in³

Q8] A parcel has to be packed with length 1 m, width 0.1 m and height 0.05 m. Find the volume of the parcel in cubic cm.

[A] 6,050 cm³
[B] 7,000 cm³
[C] 5,000 cm³
[D] 1,300 cm³

Q9] External dimensions of a wooden cuboid are 20 cm × 15 cm × 10 cm. If the thickness of the wood is 2 cm all around, find the volume of the wood contained in the cuboid formed.

[A] 1,944 cm³
[B] 7,000 cm³
[C] 5,000 cm³
[D] 1,300 cm³

Q10] The volume of the match box is 100cm³. The width and height of the box is 5 and 10 cm respectively. Find its length.
[A] 1cm
[B] 2 cm
[C] 3 cm
[D] 4 cm

Q11] What is the unknown edge of the cuboid below?

Volume = 1,200 m³

[A] 20 m
[B] 12 m
[C] 30 m
[D] 40 m

Q12] John built a rectangular cardboard box 25 cm high with a square base and a volume of 2,500 cm³. Then he realized he did not need a box that large, so, he chopped off the height of the box reducing its volume to 1,000 cm³. Was the new box cubical?
[A] 20 cm
[B] 10 cm
[C] 30 cm
[D] 40 cm

Q13] A cuboid measures 10 X 11 X x cm. It's volume is 1,331 cm³. What is the length of the missing side?

[A] 12.1 cm
[B] 12 cm
[C] 10 cm
[D] 11 cm

Q14] Find the volume of the cuboid having length, breadth and height as 12cm, 15cm and 30 cm.
[A] 6,000 cm³
[B] 5,400 cm³
[C] 4,200 cm³
[D] 5,000 cm³

Q15] Find the volume of a cuboid whose length is 100 m, breadth is 0.2 m and height is 0.15m.
[A] 3 m³
[B] 1.25 m³
[C] 4 m³
[D] 5 m³

Q16] How many congruent faces does a cube have?
[A] 6
[B] 3
[C] 5
[D] 4

Q17] How many pairs of congruent parallel faces does a rectangular prism have?
[A] 6
[B] 3
[C] 5
[D] 4

Q18] Which of these three-dimensional figures do not have polygonal faces?

[A] Figure 2
[B] Figure 1
[C] Figure 3
[D] Figure 1 and 3

Q19] How many parallel and congruent bases does a cylinder have?
[A] 4
[B] 3
[C] 1
[D] 2

Q20] Identify the solid with a square base and 4 triangle-shaped sides.

[A] Figure 2
[B] Figure 1
[C] Figure 3
[D] Figure 4

Q21] Find the surface area of a cuboid given l = 10 cm, h = 4 cm and w = 13 cm.
[A] 444 cm²
[B] 222 cm²
[C] 333 cm²
[D] 111 cm²

Q22] Find the surface area of the rectangular prism: = 1 m²

[A] 180 m²
[B] 202 m²
[C] 313 m²
[D] 188 m²

Q23] Find the surface area of a cuboid: = 1 unit²

[A] 110 unit²
[B] 120 unit²
[C] 130 unit²
[D] 140 unit²

Q24] Find the surface area of a cuboid given below:

[A] 46 in²
[B] 12 in²
[C] 26 in²
[D] 14 in²

Q25] The surface area of the wooden door is 416 m². The length and width of the door is 12 m and 10 m respectively. Find its height.
[A] 2 m²
[B] 4 m²
[C] 6 m²
[D] 8 m²

Q26] What is the surface area of a television 20 inches long, 15 inches wide, and 5inches high?
[A] 980 in²
[B] 950 in²
[C] 915 in²
[D] 925 in²

Q27] The height of a cuboid is 18 m. Its length is 3 times its height and 2 times its width. Find the surface area of the cuboid.
[A] 5,280 m²
[B] 5,832 m²
[C] 5,313 m²
[D] 5,188 m²

Q28] Michael has a box measured 2.1 meters in length, 1.9 meters in height and 2.5 meters in width. What is the surface area of his box can hold?
[A] 18.21 m²
[B] 20.21 m²
[C] 27.98 m²
[D] 18.08 m²

Q29] Kyle bought 2 snack boxes. Box A has a measure of 2 in x 3 in x 5 in. Box B has a measure of 11 in x 4 in x 3 in. Find the surface area of the boxes and their difference.
[A] 116 in²
[B] 201 in²
[C] 279 in²
[D] 198 in²

Q 30] Each of the cubes is 1 m in length. The total surface area of the cuboid is ______.

[A] 86 m²
[B] 85 m²
[C] 84 m²
[D] 80 m²

Q 31] The volume of this cube is 125 cubic units. What is its surface area?
[A] 180 unit²
[B] 150 unit²
[C] 130 unit²
[D] 140 unit²

Q 32) Find the surface area of the cuboid:-

A) 130 m²
b) 131 m²
c) 132 m²
d) 133 m²

Q 33) The surface area of the cuboid is 169 m². It s length is 3m and height is 9 m . Find its width
a) 4.79
b) 4.5m
c) 4m
d) 5m

Q 34. calculate the total surface area of the cuboid:

a) 171 cm²
b) 172 cm²
c) 173 cm²
d) 174 cm²

Q35] Find the surface area of the cuboid:

[A] 300.1 mm²
[B] 320.5 mm²
[C] 316.4 mm²
[D] 305.2 mm²

Q36] Find the volume of a cube of side 15 cm.
[A] 3,375 cm³
[B] 3,350 cm³
[C] 3,450 cm³
[D] 3,120 cm³

Q37] A cubical of gift box was cut into 12 equal cubes of sides 5 m. What is the volume of the gift box?
[A] 1,200 m³
[B] 1,350 m³
[C] 1,450 m³
[D] 1,500 m³

Q38] Count the "L" shape cubes with 3 cm side for each cube and also find the volume of a cube.

[A] 486 cm³
[B] 130 cm³
[C] 450 cm³
[D] 500 cm³

Q39] Count the "C" shape cubes with 5 inches side for each cube and also find the volume of a cube.

[A] 3,625 in³
[B] 3,020 in³
[C] 4,050 in³
[D] 3,500 in3

Q40] Count the "E" shape cubes with 0.01m side for each cube and also find the volume of a cube in cubic centimetre.

[A] 0.0003 cm³
[B] 30.03 cm³
[C] 0.00003 m³
[D] 0.003 cm³

Q41] Fill in the blanks:
The volume of a cube = ________ × ________ × ________
[A] side x length x width
[B] side x height x side
[C] side x side x side
[D] side x length x breadth

Q42] Fill in the blank:
The volume of a 1.5 cm cube is ________.
[A] 33.75 cm³
[B] 33.50 cm³
[C] 34.50 cm³
[D] 31.20 cm³

Q43] Find the volume of the cube whose each edge is 12.8 cm.

[A] 2,097.152 cm³
[B] 2,312.190 cm³
[C] 2,091.127 cm³
[D] 2,981.300 cm³

Q44] The volume of a cube is 1,331 m³. What is the side of a cube?
[A] 11 m
[B] 12 m
[C] 13 m
[D] 121 m

Q45] The volume of a cubic dice is 4.096 in³. Find its side.
[A] 1.1 in
[B] 1.6 in
[C] 1.3 in
[D] 1.2 in

Q46] Find the volume of the cube, whose side is 8 ft?
[A] 64 ft³
[B] 512 ft³
[C] 36 ft³
[D] 502 ft³

Q47) Find the length of the Gift box, whose volume is 8000 m3
a) 12 m
b) 18 m
c) 20 m
d) 10 m

Q48) Fill in the blank;
The volume of the cube is 4.913 in³. It's side is__
a) 15 in
b) 11 in
c) 16 in
d) 17 in

Q49) Calculate the volume of a dile with the dimensions 13 m x 13m x 13m.
a) 2097 m³
b) 2197 m³
c) 2196 m³
d) 2195 m³

Q 50). What is the volume of cube?

a) 29.200 m³
b) 29.791 m³
c) 29.791 mm³
d) 29.790 mm³

Q51] Fill in the blank:
The total surface area of the cube is ______.
[A] 3a²
[B] 6a²
[C] 4a²
[D] 5a²

Q52] Fill in the blank:
Cube is identified as ________.
[A] By its diameter
[B] By all three sides
[C] By its radius
[D] By its diagonal

Q53] Find the surface area of a cube with side 12 m.
[A] 814 m²
[B] 864 m²
[C] 854 m²

[D] 841 m²

Q54] The edge of the cube measures 9 cm. Find its surface area.
[A] 418 cm²
[B] 446 cm²
[C] 486 cm²

[D] 441 cm²

Q55] The length of the side is 3.9 ft. Find the surface area of a cube.
[A] 41.82 ft²
[B] 94.16 ft²
[C] 91.26 ft²
[D] 40.41 ft²

Q56] The side of the base of a dice is 5.5 mm. Find the surface area of a dice whose edges are squares.
[A] 181.5 mm²
[B] 90.21 mm²
[C] 180.2 mm²
[D] 120.4 mm²

Q57] The surface area of a cube is 441m². Find its side.
[A] 8.5 m
[B] 8.2 m
[C] 8.1 m
[D] 8.4 m

Q 58) A 6 cm cube is cut into 3cm cubes calculate the total surface area of all the small cubes.
a) 420 cm²
b) 441 cm²
c) 432 cm²
d) 401 cm²

Q 59) A cubical water tank measures 3 feet sides. Find its surface are.
a) 9 ft²
b) 50 ft²
c) 52 ft²
d) 54 ft²

Q 60) The surface area of the cube is 729 m². Find its length
a) 11.01 m
b) 11.05 m
c) 11.02 m
d) 11.06 m

Q 61) Find the volume of the cylinder;(use Π = 3.14 )

a) 3.190 m³
b) 3.920 m³
c) 3.925 m³
d) 3.820 m³

Q 62) Find the volume of the cylinder (using Π = 3.14 )

a) 1,502.2 cm³
b) 1520.1 cm³
c) 1540.2 cm³
d) 1538.6 cm³

Q 63) Find the Volume of a cylindrical bottle with radius 14 cm and height 14 cm.(use Π = 22/7)

a) 8,520 cm³
b) 8,624 cm³
c) 8,132 cm³
d) 8,614 cm³

Q 64) The volume of the cylinders is 400 mm³. It's diameter is 20 mm. Find the height.(use Π = 3.14)
a) 0.075 mm
b) 0.079 mm
c) 0.071 mm
d) 0.072 mm

Q 65) Find the volume of the cylinder. Its radius is 3 ft and height is 6 ft. (use Π = 3.14 )
a) 169.56 ft³
b) 169.56 ft³
c) 168.41 ft³
d) 159.20 ft³