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Karo-lina-s [1.5K]
3 years ago
13

Which pyramid has a greater volume, and how much greater is its volume? A rectangular pyramid on the left with a base of 7 inche

s by 6 inches and height of 3 inches. A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.
Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

Which pyramid has a greater volume? the first pyramid (left pyramid) with a volume of 42in^3

How much greater is its volume? its volume is 2in^3 greater than the second (right) pyramid

Step-by-step explanation:

Equation to find the volume of a pyramid:

V=\frac{A_bh}{3}

where A_b is the area of the base, and h is the height.

  • First pyramid:

length: l=7in

width: w=6in

height: h=3in

Area of the rectangular base:

A_b=lw\\A_b=7in*6in\\A_b=42in^2

Volume of the first pyramid:

V_1=\frac{A_bh}{3}\\ \\V_1=\frac{42in^2*3in}{3} \\\\V_1=\frac{126in^3}{3} \\\\V_1=42in^3

  • Second pyramid:

length: l=4in

width: w=3in

height: h=10in

Area of the rectangular base:

A_b=lw\\A_b=4in*3in\\A_b=12in^2

Volume of the second pyramid:

V_2=\frac{A_bh}{3} \\\\V_2=\frac{12in^2*10in}{3}\\ \\V_2=\frac{120in^3}{3} \\\\V_2=40in^3

Which pyramid has a greater volume? the first pyramid (left pyramid) with a volume of 42in^3

How much greater is its volume? its volume is 2in^3 greater than the second (right) pyramid

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