How to find the surface area and volume of a triangular pyramid?
Find Volume of the Triangular Pyramid. Use the formula
V = 1/3 Bh
Step 1: B = area of the base; the base shape is a triangle
B=1/2(3)(4)= 6 mi squared
Step 2: Multiply the B = 6 times the height of the whole
pyramid (4)
(6)(4) = 24
Step 3: Multiple by 1/3(24)=8
Answer: V= 8 mi cubed
Find surface area of the triangular pyramid.
SA = B + 1/2 (perimeter x slant height)
Step 1: B = area of the base; the base shape is a triangle
B=1/2(3)(4)= 6 mi squared
Step 2: Find the perimeter of the triangle:
3 + 4 + 5 = 12
Step 3: Plug everything into the formula and solve:
SA=6+1/2(12 x 4)= 30 mi squared
Sample Math Problems
Question 1:
Find the surface area of the following pyramid:
Answer:
SA=B+1/2(perimeter x slant height)
Step 1: B = area of the base; the base shape is a triangle
B=12(5)(12)= 30 ft squared
Step 2: Find the perimeter of the triangle:
5 + 12 + 13 = 30
Step 3: Plug everything into the formula and solve:
SA=30+1/2(30 x 20)= 330 ft squared
Question 2:
Find surface area of the figure below
Answer:
Step 1: Find the SA:
SA=B+1/2(perimeter x slant height)
SA=1/2(8)(12)+12(6+8+10 x 15)=48+180=228 in squared
Question 3:
Find the volume of the figure below:
Answer:
V = 1/3 Bh
V = 1/3 (1/2 * 8 * 12) (12) = 384 in squared
Question 4:
Find the surface area of the following figure:
Answer:
SA = 12(8)(15) + 12((8+15+17) x 18)=60+360=420 m squared
