the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the <u>radius will be 3</u>
slant height is
h is 4.7 and r is 3
<u>slant height is 5.58427</u>
lateral surface area
<u>lateral surface area is 52.63053</u>
total surface area
<u>total surface area is 80.90486</u>
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC =
=
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base =
=
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
