Question

Sandy builds this shape of four

congruent triangles using clay and toothpicks. The area of each triangle is
17.6 cm², and the height of the shape is 5.2 cm. What three-dimensional
figure does the shape Sandy built resemble? If this were a solid shape,
what would be its volume? Round your answer to the nearest tenth.

Answer 1

Triangular Pyramid

30.5 cm^3 (cubic centimeters)

Explanation:

a shape made up of four triangles is a triangular pyramid.

Volume of any pyramid is (1/3)*Area of the base*height.

area of the base, or any face, is 17.6 as said in the question, now the height. is 5.2 so we can solve then.

V = 1/3 * 17.6 * 5.2 = 30.5