Question

kaci bought a birthday cake, like the one shown below, for her mother.
if a = 5 inches, b = 5 inches, c = 9 inches, and d = 2 inches, what is the volume of the cake?
note: figure is not drawn to scale.
a. 180 cubic inches
b. 140 cubic inches
c. 100 cubic inches
d 215 cubic inches

Explanation:

Step1: Find the volume of the first rectangular prism

The formula for the volume of a rectangular prism is \(V = a\times c\times d\).
Substitute \(a = 5\), \(c = 9\), \(d=2\) into the formula: \(V_1=5\times9\times2 = 90\) cubic inches.

Step2: Find the volume of the second rectangular prism

The formula for the volume of a rectangular prism is \(V = a\times b\times d\).
Substitute \(a = 5\), \(b = 5\), \(d = 2\) into the formula: \(V_2=5\times5\times2=50\) cubic inches.

Step3: Find the total volume of the cake

The total volume \(V = V_1+V_2\).
\(V=90 + 50=140\) cubic inches.

Answer:

B. 140 cubic inches