Answer:
a). The volume of the pyramid on the left is greater by 2 inches cubed.
Step-by-step explanation:
The volume of a rectangular based pyramid is
V = [tex]\frac{1}{3}[/tex] w b h
Where w, and b are the lengths of the base of the pyramid, and h is the height of the pyramid
Substitute the values given for both pyramids into the equation, and solve for V
Left Pyramid:
V = [tex]\frac{1}{3}[/tex] w b h
V = [tex]\frac{1}{3}[/tex] * 7 * 6 * 3
Volume of Left Pyramid = 42 [tex]inches^{3}[/tex]
Right Pyramid:
V = [tex]\frac{1}{3}[/tex] w b h
V = [tex]\frac{1}{3}[/tex] * 4 * 3 * 10
Volume of Right Pyramid = 40 [tex]inches^{3}[/tex]
Subtract the two volumes to find the difference in volume
42 - 40 = 2 [tex]inches^{3}[/tex]
Answer:
The volume of the pyramid on the left is greater by 2 inches cubed.
Step-by-Step Explanation
