2 years ago

Find the side lengths the cube X

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

7 0

Answer:

x = 6

Step-by-step 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 = $\frac{1}{2}$ 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

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