11.3. Prisms http://www.ck12.org
Then, multiply this by the height.
V= 54 ( 15 ) = 810 cm^3Practice
Use the right triangular prism to answer questions 1-5.
- What shape are the bases of this prism? What are their areas?
- What are the dimensions of each of the lateral faces? What are their areas?
- Find the lateral surface area of the prism.
- Find the total surface area of the prism.
- Find the total volume of the prism.
6.WritingDescribe the difference between lateral surface area and total surface area. - Fuzzy dice are cubes with 4 inch sides.
a. What is the surface area of one die?
b. Typically, the dice are sold in pairs. What is the surface area of two dice?
c. What is the volume of both dice?
Find the surface area and volume of the following solids.
- bases are isosceles trapezoids
Find the value ofx, given the surface area.
11.SA= 432 units^2
12.SA= 1568 units^2Use the diagram below for questions 13-16. The barn is shaped like a pentagonal prism with dimensions shown in
feet.
- What is the area of the roof? (Both sides)
- What is the floor area of the barn?
- What is the area of the sides of the barn?
- What is the total volume of the barn?
- An open top box is made by cutting out 2 in by 2 in squares from the corners of a large square piece of
cardboard. Using the picture as a guide, find an expression for the surface area of the box. If the surface area
is 609in^2 , find the length ofx. Remember, there is no top. - How many one-inch cubes can fit into a box that is 8 inches wide, 10 inches long, and 12 inches tall? Is this
the same as the volume of the box? - A cereal box in 2 inches wide, 10 inches long and 14 inches tall. How much cereal does the box hold?
- A cube holds 216in^3. What is the length of each edge?