Question

The surface area of cube is4374cm². Find its volume.​

Answer 1

Answer:

• Volume of the cube = 19683 cm³

Step-by-step explanation:

Given that:

• The surface area of a cube is 4374 cm².

Finding the side of cube using formula:

Surface area of cube = 6 × (side)²

→ 4374 = 6 × (side)²

→ (side)² = 4374/6

→ (side)² = 729

→ side = √729

→ side = 27

∴ The side of the cube = 27 cm

To Find:

• Volume of the cube.

Finding the volume of cube using formula:

• Volume of the cube = (side × side × side)
• Volume of the cube = (27 cm × 27 cm × 27 cm)
• Volume of the cube = 19683 cm³

Answer 2

Step-by-step explanation:

surface area of cube=6×(side)square

4374=6×(side) square

(side) square=4374/6

(side) square=729

side =√729

side=27

volume of cube=(side×side×side)

(27×27×27)

19683cmcube