Answer: 74
Explanation:
The volume of the pyramid can be found using the formula:
Volume = (1/3) x Base Area x Height
To find the base area, we need to find the area of the triangular base. The area of a triangle can be found using the formula:
Area = (1/2) x Base x Height
Substituting the given values, we have:
Area = (1/2) x 8 x 6 = 24 square inches
To find the height of the pyramid, we can use the Pythagorean theorem. The slant height and one-half of the base form a right triangle, so we have:
Height^2 = (Slant Height)^2 - (1/2 x Base)^2
Height^2 = 10^2 - 4^2
Height^2 = 84
Height = √84 ≈ 9.165 inches
Now we can substitute the values into the formula for the volume:
Volume = (1/3) x Base Area x Height
Volume = (1/3) x 24 x 9.165
Volume ≈ 73.96 cubic inches
Therefore, the volume of the pyramid is approximately 73.96 cubic inches.Step-by-step explanation: