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GradeVolume of a Cube

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The diagonal of a cube is $ 30\sqrt{3} $ metres. What is the solid content?

Three cubes of metal whose edges are in the ratio of 3:4:5 are melted to form a cube whose diagonal is $6\sqrt{3}$ cm. Find the edges (in cm) of the three cubes.

A. 6, 8, 10

B. 9, 12, 15

C. 8, 9, 11

D. 3, 4, 5

A. 6, 8, 10

B. 9, 12, 15

C. 8, 9, 11

D. 3, 4, 5

If the length of each edge of a cube is tripled, then what is the change in its volume?

A birthday cake has two tiers as shown in the figure below . find the volume of the cake .

Find the volume of a cube of side $ 15cm $ ?

(A) $ 3375c{m^3} $

(B) $ 3350c{m^3} $

(C) $ 3450c{m^3} $

(D) $ 3120c{m^3} $

(A) $ 3375c{m^3} $

(B) $ 3350c{m^3} $

(C) $ 3450c{m^3} $

(D) $ 3120c{m^3} $

What is the volume of the cube if it’s surface area is 2400 cm^{2} ?

Three cubes of metal whose edges are in the ratio 3:4:5 are melted and formed into a single cube where the diagonal is $12\sqrt{3}cm$. Find the edges of three cubes.

A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold Pens. The dimensions of the cuboid are 15cm by 10cm by 3.5 cm . The radius of each of the depression is 0.5cm and the depth is 1⋅4cm .Find the volume of the wood in the entire stand. \[\]

A cubical tank has an edge of 6m. How many litres of water can be stored in it?

The surface area of a cube is $ 1176c{m^{2.}} $ find its volume.

A cube has a volume of 125 cubic feet, what is the length of each edge?

What is the edge length of the cube?

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