Question

Here is a triangular prism. 4 cm 10 cm 5cm 5cm 6cm

A. What is the volume of the prism, in cubic centimeters?


B. What is the surface area of the prism, in square centimeters?​

Answer 1

(A) 120 cm³

(B) 184 cm²

Explanation:

(A)

Assuming the diagram attached is thesame as the one needed to complete the question,

Applying

V = A'×L................... Equation 1

Where V = volume of the prism, A' = Area of the triangular base, L = Length of the prism.

But,

A' = 1/2bh............. Equation 2

Where b = base of the triangle, h = height of the triangle.

Substitute equation 2 into equation 1

V = 1/2bh(L)............... Equation 3

From the question,

Given: b = 6 cm, h = 4 cm, L = 10 cm

Substitute these values into equation 3

V = 1/2(6×4×10)

V = 120 cm³

(B)

Surface area of the prism(A) = bh+L(a+b+c).............. Equation 4

Given: b = 6 cm, b = 5 cm, c = 5 cm, L = 10 cm, h = 4 cm

Substitute these values into equation 4

A = (6×4)+10(5+5+6)

A = 24+160

A = 184 cm²