The base of a straight prism is a right-angled triangle with 6 and 8 cm legs.Find the area of the lateral
August 30, 2021 | education|
The base of a straight prism is a right-angled triangle with 6 and 8 cm legs.Find the area of the lateral surface of the prism if its largest lateral edge is a square
The triangle at the base will have a hypotenuse C:
C = √ (6 ^ 2 + 8 ^ 2) = √100 = 10 cm;
The hypotenuse is the largest side of a right-angled triangle. The largest side of the triangle will be the side of the largest face of the prism, which is a square. The side of the square is 10 cm, hence the height of the prism is h = 10 cm.
Find the perimeter p of the triangle at the base:
p = 6 cm + 8 cm + 10 cm = 24 cm.
The area S of the lateral surface of the prism:
S = ph = 24 * 10 cm = 240 cm2.
Answer: 240 cm2.
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