Question

The right triangular prism has a volume of 1,152 cm3. What is the value of x, the height of the prism? 6 8 12 16

Answer 1

volume = 1/2 x a x b x X

1152= 1/2 x 12x 12 x X

 12*12 = 144

1152 = 1/2 x 144 x X

1152/ 1/2 = 2304

2304 =144 x X

X=2304/144 = 16

check  1/2*12*12*16 = 1152

x=16cm

Answer 2

The height of the triangular prism is: 16 cm.

What is the Volume of a Right Triangular Prism?

Volume of Right Triangular Prism = 1/2(base of triangle × height of triangle × height of prism).

Given:

• Volume = 1,152 cm³
• height of triangle = 12 cm
• base = 12 cm
• height of prism = x

Substitute

1,152 = 1/2(12 × 12 × height of prism).

Height of the prism = 1,152/72 = 16 cm.

Therefore, the height of the triangular prism is: 16 cm.

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