Respuesta :
Answer:
The correct answer is A. 22 inches ³
Step-by-step explanation:
Let's recall that the formula of the volume of a triangular pyramid:
Volume = 1/3 * Area of the base * height
Replacing with the values we have:
Volume = 1/3 * 11 inches² * 6 inches
Volume = 66/3
Volume = 22 inches ³
The correct answer is A. 22 inches ³
The volume of the speaker which is in the shape of a triangular pyramid is 22 cubic inches.
Given that,
A stereo speaker in the shape of a triangular pyramid has a height of 6 inches.
The area of the base of the speaker is 11 square inches.
We have to determine,
What is the volume of the speaker in cubic inches?
According to the question,
A stereo speaker in the shape of a triangular pyramid has a height of 6 inches.
The area of the base of the speaker is 11 square inches.
There are two methods by which we can find the volume of a cube. Both the methods are formula-based and easy to understand. Therefore, if we know the edge length of the cube.
The volume of the speaker is determined by using the following formula;
[tex]\rm Volume= \dfrac{1}{3} \times Area \ of \ the \ base \times Height[/tex]
Where the area of the base is 11 square inches and height is 6 inches.
Substitute all the values in the formula
[tex]\rm Volume= \dfrac{1}{3} \times Area \ of \ the \ base \times Height\\\\Volume = \dfrac{1}{3} \times 11 \times 6\\\\Volume = 1 \times 11 \times 2\\\\Volume = 22 \ inches^3[/tex]
Hence, The volume of the speaker is 22 cubic inches.
To know more about Volume click the link given below.
https://brainly.com/question/9861494
