Answer: 25 in³
Step-by-step explanation:
We can calculate the volume of the pyramid by first calculating the volume of a prism with the same dimensions, and then dividing by 3 (all pyramids a volume that's of the volume of a prism with the same dimensions).
The volume of a prism is its base area times its height. The base would be a square, so its area is 5², which is 25. The height is 3 inches, making the prism's volume 75 in³.
The volume of the pyramid would be one-third of this value, which is 75 which is 25 in³.
Answer:
142 in^2
Step-by-step explanation:
Base: 7 × 3 = 21 (×2 = 42)
Small faces: 5 × 3 = 15 (×2 = 30)
Larger faces: 5 × 7 = 35 (×2 = 70)
Add: 21 + 30 + 70 = 142
Answer: 9x+4
Step-by-step explanation: We take out the parentheses by multiplying both values by 2 (2 times x and 2 times 3) to get 2x-6. Now our equation is 9x+2x-6-2x+10. We can see that there is a +2x and a -2x so we just take both of them out as they cancel out each other. Now our equation is 9x -6+10. we add 10 to -6 to get +4. The result is 9x+4.