Question

a box of granola bars measures 22 centimeters long by 5 centimeters wide by 15 centimeters high. a box of fruit bars measures 24 centimeters long by 3 centimeters wide by 26 centimeters high. which box has the greater volume? how much greater?
select the correct choice below and fill in the answer box to complete your choice.
(type a whole number )
a. the box of fruit bars has the greater volume. it is cubic centimeters greater than the granola bars box.
b. the box of granola bars has the greater volume. it is cubic centimeters greater than the fruit bars box

Explanation:

Step1: Calculate granola box volume

Volume = length × width × height
$V_g = 22 \times 5 \times 15 = 1650$ cubic centimeters

Step2: Calculate fruit bar box volume

Volume = length × width × height
$V_f = 24 \times 3 \times 26 = 1872$ cubic centimeters

Step3: Compare volumes and find difference

Find $V_f - V_g$
$1872 - 1650 = 222$ cubic centimeters

Answer:

A. The box of fruit bars has the greater volume. It is 222 cubic centimeters greater than the granola bars box.