Question

Determine the surface area and volume of the following triangular prism."30 cm17 cm8 cm10 cm21 cm86160825205040856800surface area(cm)volume (cm)oWhich of the following can be used as the units for the SURFACE AREA of a

Answer 1

For the surface area:

We have:

• Two triangles with base = 21 cm and height = 8 cm :

$2\cdot\frac{21\cdot8}{2}=168$

• A 21 cm x 30 cm rectangle:

$21\cdot30=630$

• A 17 cm x 30 cm rectangle:

$17\cdot30=510$

• A 10 cm x 30 cm rectangle:

$10\cdot30=300$

Adding up the surface area of all the faces, we'll get the total surface area of the prism:

$168+630+510+300=1608$

Thereby, the surface area of the prism is 1608 square centimiters

For the volume:

We can see the prism as a body with triangular base and a height of 30 cm. To calculate teh volume, we calculate the area of the base and multiply it by the height.

The base is a triangle with base = 21 cm and height = 8 cm :

$\frac{21\cdot8}{2}=84$

Multiply by the height to get the volume:

$84\cdot30=2520$

We get that the volume of the prism is 2520 cubic centimiters.