Question

A triangular prism has a volume of 10 cm3. If each dimension of the prism is multiplied by four, what is the new volume of the prism?

320 cm3

80 cm3

160 cm3

640 cm3

Answer 1

Volume of a triangular prism is given by 0.5 * base * height * length = 0.5 *b*h*l

given 0.5*b*h*l = 10cm3

each dimension is now 4 times,

0.5 * 4b*4h*4l = (0.5*b*h*l) *4 *4 *4
Substitute 0.5*b*h*l = 10cm3
New Volume= 10*4*4*4= 640cm3

Answer 2

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Answer 3

Thanks!