MATH SOLVE

4 months ago

Q:
# Two blocks of ice are shaped as right rectangular prisms. The smaller block of ice has a length of 6 in., a width of 4 in., and a height of 10 in. The dimensions of the larger block of ice has dimensions that are triple the dimensions of the smaller block. What is the volume of the larger block of ice? Enter your answer in the box. in³

Accepted Solution

A:

The volume of a right rectangular prism is equal to base x width x height

Applying the formula above, we can deduce that the smaller block of ice's volume is: 6 x 4 x 10.

However we are trying to find the volume of the larger block of ice whose dimensions are triple the dimensions of the smaller block, therefore, their dimensions would look like this: 6x3, 4x3, and 10x3.

All we have to do now is substitute that into the formula.

Volume = 6x3 x 4x3 x 10x3

= 18 x 12 x 30

= 18 x 360

= 6480 [tex] in^{3} [/tex]

Applying the formula above, we can deduce that the smaller block of ice's volume is: 6 x 4 x 10.

However we are trying to find the volume of the larger block of ice whose dimensions are triple the dimensions of the smaller block, therefore, their dimensions would look like this: 6x3, 4x3, and 10x3.

All we have to do now is substitute that into the formula.

Volume = 6x3 x 4x3 x 10x3

= 18 x 12 x 30

= 18 x 360

= 6480 [tex] in^{3} [/tex]