Question

Find the side lengths the cube X

Answer 1

x = 6

Explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular end and l is its length )

A =
`(1)/(2)` bh = 0.5 × 9 × 4 = 18 cm² , then

V = 18 × 12 = 216 cm³

The volume of a cube is

V = s³ ( s is the side length ) , so

s³ = x³ = 216 ( take the cube root of both sides )

x =
`\sqrt[3]{216}` = 6