Question

Use the image to answer the question.

A right triangular prism measures 4 centimeters in width, 7 centimeters in length, and 3 centimeters in height.

If the right triangular prism is dilated using a scale factor of 3, what would be the volume of the dilated prism?

(1 point)
Responses

378 cm3
378 cm cubed

1,134 cm3
1134 cm cubed

2,268 cm3
2268 cm cubed

126 cm3

Answer 1

Base area = (1/2)(4)(3) = 6 cm³. Original volume = 6 × 7 = 42 cm³. Scaling by factor 3 multiplies volume by 3^3 = 27, so new volume = 42 × 27 = 1134 cm³.