Question

i need help with the triangle. i would rather anyone tell me step by step so i can understand how to do it next time, thank you.

Answer 1

Volume of triangular prism = 126

Volume of composite figure = 462

Explanation:

The volume of a triangular prism is base area x height

Here the base of the triangular prism has sides 7(the vertical side) and 6(the horizontal side). The are of this base = area of the triangle = 1/2 * 7 * 6 = 21

(Area of a triangle is 1/2 x b x h where b is base and h is height)

The volume of the prism is simply this area x width = 21 x 6 = 126

To get the composite figure volume add the volume of the rectangular prism so we get 126 + 336 = 462

Answer 2

126 cm³

Explanation:

The volume of the triangular prism can be calculated using the formula below:

Volume of prism= base area ×height

Area of base

= area of triangle

= ½ ×base ×height

= ½(6)(7)

= 21 cm²

The height of the triangle is the same as the length of the 7cm side of the rectangle.

In this figure, the height of the prism is 6 cm.

Volume of triangular prism

= 21(6)

= 126 cm³

_______

Area of composite figure

= area of rectangular prism +area of triangular prism

= 336 +126

= 462 cm³