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The cuboid below has a height of 3 m and a volume of 243 m³. The top and bottom faces of the cuboid are
square.
?
Work out the length of the side marked with a question mark.(3m)
Give your answer in metres (m), and give any decimal answers to 1 d.p.

Answer 1

The length of the cube can be obtained as 9 m.

What is a cuboid?

A cuboid is a three-dimensional geometric shape that has six rectangular faces, twelve edges, and eight vertices (corners). All angles in a cuboid are right angles, and opposite faces are equal in size. . Cuboids are common in everyday objects, such as boxes and rectangular rooms.

We know that;

V = Area * Height

243 m³ = Area * 3m

Area = 243 m³/3m

= 81
`m^2`

Since the side is a square;

Area =
`l^2`

l = √81

l = 9 m