Prisms and surface area practice 10 questions
Alright, here are 10 practice questions on prisms and surface area:
1. Find the surface area of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm.
2. A triangular prism has a base area of 10 cm², height of 6 cm, and slant height of 8 cm. Find the surface area.
3. Find the surface area of a cube with side length 7 cm.
4. A hexagonal prism has a base perimeter of 30 cm and height of 9 cm. Find the surface area.
5. Find the surface area of a triangular prism with base sides measuring 6 cm, 7 cm, and 9 cm, height of 4 cm, and slant height of 5 cm.
6. A rectangular prism has a volume of 120 cm³ and surface area of 94 cm². Find the height of the prism.
7. Find the surface area of a cylinder with radius 4 cm and height 9 cm.
8. A square pyramid with a base edge of 6 cm and slant height of 8 cm has a surface area of __ cm².
9. A cone has a radius of 5 cm and slant height of 13 cm. Find the surface area.
10. Find the surface area of a pentagonal prism with base side length of 5 cm, height of 8 cm, and slant height of 9 cm.
1
The surface area of the rectangular prism is:
2(lw + lh + wh) = 2(5*3 + 5*2 + 3*2) = 2(15 + 10 + 6) = 62 cm².
Sure! I can provide you with 10 practice questions on prisms and surface area. Here they are:
1) The surface area of a rectangular prism with dimensions 4 cm, 5 cm, and 6 cm is:
- To find the surface area, you need to calculate the area of each face and then add them together.
2) A triangular prism has a base with dimensions 8 cm and 6 cm, and a height of 10 cm. Find the surface area.
- First, calculate the area of the triangular base and then multiply it by 2. Add the areas of the three rectangular faces as well.
3) Given a cube with side length 2 cm, what is its surface area?
- Since a cube has six identical square faces, multiply the area of one face by 6.
4) Find the surface area of a cylinder with radius 3 cm and height 8 cm.
- To find the surface area of a cylinder, calculate the area of the two circular bases and the area of the curved surface. Add them together.
5) A right triangular prism has a base with legs measuring 4 cm and 7 cm and a height of 9 cm. Find the surface area.
- First, calculate the area of the triangular base and then multiply it by 2. Add the areas of the three rectangular faces as well.
6) The surface area of a pentagonal prism with base side length 5 cm, apothem 4 cm, and height 10 cm is:
- Calculate the area of the pentagonal base and multiply it by 2. Then, add the areas of the five rectangular faces.
7) Find the surface area of a cone with radius 6 cm and slant height 10 cm.
- To find the surface area of a cone, calculate the area of the base (using the radius) and the area of the curved surface (using the slant height). Add them together.
8) A hexagonal prism has a base side length of 3 cm and a height of 6 cm. Determine its surface area.
- Calculate the area of the hexagonal base and multiply it by 2. Add the areas of the six rectangular faces as well.
9) Given a sphere with radius 5 cm, what is its surface area?
- To find the surface area of a sphere, multiply the square of the radius by 4π.
10) Find the surface area of a pyramid with base side length 8 cm and slant height 12 cm.
- Calculate the area of the triangular base and then add the areas of the three triangular faces.
For each question, remember to use the appropriate formulas and substitute the given values to find the solution.