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If the volume of a cube is 729 cu. cm. what is the length of its diagonal?

A) \( \Large 9\sqrt{2} cm \)
B) \( \Large 9\sqrt{3} cm \)
C) 18 cm
D) \( \Large 18\sqrt{3} cm \)

Correct Answer:


B) \( \Large 9\sqrt{3} cm \)

Description for Correct answer:
Volume of cube = \( \Large Side^{3} \)

Therefore, 729 = \( \Large a^{3} \) => a = 9 cm

Therefore, Diagonal of cube = \( \Large Side \times \sqrt{3} \)

\( \Large 9 \times \sqrt{3} \)

\( \Large 9\sqrt{3} \) cm .

Part of solved Volume and surface area questions and answers : >> Elementary Mathematics >> Volume and surface area

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Similar Questions

1). Find the surface area of a cuboid 10 m long, 5 In broad and 3 m high.

A). 105 sq m

B). 104 sq m

C). 170 sq m

D). 190 sq m

2). The surface area of a cube is 726 sq cm. Find the volume of the cube.

A). 1331 \( \Large cm^{3} \)

B). 1232 \( \Large cm^{3} \)

C). 1626 \( \Large cm^{3} \)

D). 1836 \( \Large cm^{3} \)

3). The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm x 6cm x 2 cm, is

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A). 12

B). 13

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5). A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 \( \Large cm^{2} \). Which one of the following is correct?

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6). The whole surface area of a rectangular block is 8788 sq cm. If length, breadth and height are in the ratio of 4 : 3 : 2, then find the length.

A). 26 cm

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7). What are the dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm?

A). 9, 8 and 10 cm

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D). 30, 2 and 12 cm

8). The volume of a cube is equal to sum of its edges. What is the total surface area in square units?

A). 12

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9). If each side of a cube is decreased by 19%, then decrease in surface area is

A). 40%

B). 38.40%

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10). The diameter of the base of a right circular cylinder is 14 cm, while its length is 40 cm. Find the total surface area of the cylinder.

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