Question

A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm. The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism? 3 4 4 5

Answer 1

A

Explanation:

Answer 2

Answer: 3.5

Explanation:

Given: Dimensions of larger prism = length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.

Scale factor =
`\frac{\text{Size of image}}{\text{Size of original figure}}`

Since, smaller figure is the original figure and the bigger one is the image.

So, scale factor =
`(14.7)/(4.2)=3.5` [Taking lengths

Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5