Question

Please solve for the volume and surface area, Help this is due today!!!!!!!!!!!!!!!!

Answer 1

Firstly, this is a triangular prism as it has 2 triangular faces and 3 rectangular faces connecting them.

Formulas for prisms:
Volume = base area x height
Surface area = sum of area of all faces

Volume = base area (area of triangular face) x height (length of rectangular face)
= (1/2 x 6cm x 4cm) x 10cm
= 120cm^3

Surface area = sum of area of all faces
= (10cm x 6cm) + (2 x 10cm x 5cm) + (2 x 1/2 x 6cm x 4cm)
= 184cm^2

Answer 2

volume = 240 cm^3

surface area = 184 cm^2

Explanation:

the volume of a prism is b×h, the base of the prism is 10×6 which is 60, multiplied by the height of 4 gives you 240 cubed centimeters, or 240 cm^3.

the surface area is 184 because the base has an area of 60, the sides have an area of 50 each, and the triangles at the front and back have a surface area of 12 each. added all together, you get 184 cm^2.