Answer :
To find the volume of a right pyramid, you can use the formula:
[tex]V = \frac{1}{3} B h[/tex]
where [tex]V[/tex] is the volume, [tex]B[/tex] is the area of the base, and [tex]h[/tex] is the height of the pyramid.
For this particular problem, we are given:
- The base of the pyramid is a rectangle with dimensions [tex]8 \text{ cm}[/tex] and [tex]10 \text{ cm}[/tex].
- The height [tex]h[/tex] of the pyramid is [tex]7 \text{ cm}[/tex].
First, calculate the area [tex]B[/tex] of the rectangular base:
[tex]B = 8 \text{ cm} \times 10 \text{ cm} = 80 \text{ cm}^2[/tex]
Now, substitute [tex]B[/tex] and [tex]h[/tex] into the volume formula:
[tex]V = \frac{1}{3} \times 80 \text{ cm}^2 \times 7 \text{ cm}[/tex]
Calculate the volume:
[tex]V = \frac{1}{3} \times 560 \text{ cm}^3 = 186.67 \text{ cm}^3[/tex]
Since the options provided are integer values, we can conclude that the volume of the pyramid is approximately [tex]186 \text{ cm}^3[/tex].
Therefore, the correct answer is Option A. 186 cm³.
The volume of the right pyramid with a base of 8 cm by 10 cm and height of 7 cm is calculated using the formula V = 1/3 Bh, which results in approximately 186 cm³, Therefore, the correct option is A.
To find the volume of the right pyramid with a height of 7 cm and base dimensions of 8 cm and 10 cm, we use the formula for the volume of a pyramid, which is:
V = 1/3 × B × h
where V is the volume, B is the area of the base, and h is the height. In this case, the base is a rectangle, so we calculate its area (B) by multiplying its length and width:
B = length × width
B = 8 cm × 10 cm
B = 80 cm2
Now, plug the base area and height into the volume formula:
V = 1/3 × 80 cm2 × 7 cm
V = 1/3 × 560 cm3
V = 186.67 cm3
