Question

A rectangular pyramid has a length of 7 cm and a width of 9 cm. Its volume is 231 cubic centimeters. Use the formula for the volume of a pyramid to calculate the height of this pyramid. Show all your work. (2 points)

Write the correct answer in 8th grader words, shortly, paragraph form

Answer 1

I SAID PARAGRAPH FORM

Answer 2

Write it in 7th grader words omg

Answer 3

To find the height of the rectangular pyramid, we can use the formula for the volume of a pyramid, which is:

\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]

First, we need to calculate the base area. The base of the pyramid is a rectangle, so we find the area by multiplying the length and the width:

\[
\text{Base Area} = \text{Length} \times \text{Width} = 7 \, \text{cm} \times 9 \, \text{cm} = 63 \, \text{cm}^2
\]

Next, we know the volume \( V \) is 231 cubic centimeters. We can plug the values we have into the volume formula and solve for the height \( h \):

\[
231 = \frac{1}{3} \times 63 \times h
\]

To eliminate the fraction, we first multiply both sides by 3:

\[
3 \times 231 = 63 \times h
\]
\[
693 = 63 \times h
\]

Now we divide both sides by 63 to solve for \( h \):

\[
h = \frac{693}{63}
\]

Calculating this gives us:

\[
h = 11 \, \text{cm}
\]

So, the height of the pyramid is 11 centimeters.

Answer 4

To find the height of the rectangular pyramid, we start with the volume formula for a pyramid, which is \( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \). Given that the length of the pyramid is 7 cm and the width is 9 cm, we first calculate the base area, which is \( 7 \, \text{cm} \times 9 \, \text{cm} = 63 \, \text{cm}^2 \). We know the volume is 231 cubic centimeters, so we plug the values into the formula: \( 231 = \frac{1}{3} \times 63 \times h \). To eliminate the fraction, we multiply both sides by 3, resulting in \( 693 = 63 \times h \). Finally, we divide both sides by 63 to find the height, giving us \( h = \frac{693}{63} = 11 \, \text{cm} \). Therefore, the height of the pyramid is 11 centimeters.

Answer 5

To find the height of the rectangular pyramid, we use the formula for the volume, which is \( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \). We know the pyramid has a length of 7 cm and a width of 9 cm. First, we calculate the area of the base by multiplying the length and width: \( 7 \, \text{cm} \times 9 \, \text{cm} = 63 \, \text{cm}^2 \). Since the volume is given as 231 cubic centimeters, we can set up the equation: \( 231 = \frac{1}{3} \times 63 \times h \). To make the math easier, we multiply both sides of the equation by 3 to get rid of the fraction. This gives us \( 693 = 63 \times h \). Next, we divide both sides by 63 to find the height, which is \( h = \frac{693}{63} = 11 \, \text{cm} \). So, the height of the pyramid is 11 centimeters.