Question

the width, length, and height of a rectangular prism are each increased by $10\%$. what is the percent increase in the volume of the prism? express your answer to the nearest whole number.

Answer 1

The volume of the rectangular prism will increase by 33% if the width, length, and height are each increased by 10%.

Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

The formula for the volume of a rectangular prism is:

V = l x w x h

where

“l” is the base length

“w” is the base width

“h” is the height of the prism

If the width, length, and height are each increased by 10%, the equation will now become:

$V_{2}= 1.10 l * 1.10 w*1.10h$

$V_{2}= 1.331* l*w*h$            V = l*w*h

$V_{2}= 1.331* V$

Hence, if the width, length, and height are each increased by 10%, the volume of the rectangular prism will increase by 33%.

To learn more about the volume of a rectangular prism: brainly.com/question/24284033

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