The formula to calculate the volume of this shape is 𝑉=(𝐴×ℎ)÷3.Which answer choice shows how to substitute the values in the illustration into the formula?View Image DescriptionA triangular pyramid with the following attributes:The base triangle has a base of 10.63 and a height of 16.92.The height of the pyramid is 8.=((10.63)×(16.92)2)÷3𝑉=(16.92)(10.63)÷3𝑉=(10.63)(8)÷3=((10.63)×(16.92)2×(8))÷3
Question
The formula to calculate the volume of this shape is 𝑉=(𝐴×ℎ)÷3.Which answer choice shows how to substitute the values in the illustration into the formula?View Image DescriptionA triangular pyramid with the following attributes:The base triangle has a base of 10.63 and a height of 16.92.The height of the pyramid is 8.=((10.63)×(16.92)2)÷3𝑉=(16.92)(10.63)÷3𝑉=(10.63)(8)÷3=((10.63)×(16.92)2×(8))÷3
Solution
The correct substitution would be 𝑉=(16.92)(10.63)÷3. This is because the area (A) of the base triangle is calculated by multiplying the base by the height and dividing by 2 (A = base * height / 2). In this case, the base is 10.63 and the height is 16.92. The height of the pyramid (h) is 8. The formula for the volume of a pyramid is V = (A * h) / 3. Therefore, you would first calculate the area of the base triangle and then substitute that value and the height of the pyramid into the volume formula.
Similar Questions
Use the formulas, graphic, and problem to answer the questions. Complete Steps 1 - 2 in order.𝑉=𝐵ℎ𝑉=13𝐵ℎ𝐴=𝑙𝑤𝐴=𝑏ℎ𝐴=12𝑏ℎV=BhV= 31 BhA=lwA=bhA= 21 bhThe volume of a triangular pyramid is 1,800 cubic inches. If the base of the solid has a height of 18 inches and a base of 12 inches. 1. 2. Step 1: Find the missing dimension for the pyramid. Area of base == 𝐵=162B=162 in 22 𝐵=108B=108 in 22 𝐵=216B=216 in 22
Find the volume of a pyramid with a square base, where the area of the base is 8, point, 3, m, squared8.3 m 2 and the height of the pyramid is 9, point, 8, m9.8 m. Round your answer to the nearest tenth of a cubic meter.
Which of the following is the formula for the volume of a pyramid with base area B and height h?A.B.V = BhC.V = BhD.V = -Bh
Find the volume of a pyramid with a square base, where the perimeter of the base is 18, point, 3, in18.3 in and the height of the pyramid is 15, point, 7, in15.7 in. Round your answer to the nearest tenth of a cubic inch.
Samantha has a diagram of a triangular pyramid. The height of the triangular pyramid is 6 mm, and the area of the base is 24 mm.What is the volume of the pyramid in cubic millimeters?ResponsesA 48 mm³48 mm³B 72 mm³72 mm³C 144 mm³144 mm³D 86 mm³
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.