A can of canned tuna is shaped like a cylinder with the dimensions shown.
What is the approximate area of the label of the can?
A. 2
17
32
in. 2
Incorrect. The formula for the lateral surface area of a cylinder is the circumference of the circle (2 × π × radius) multiplied by the height of the can.
B. 5
29
32
in. 2
Incorrect. The formula for the lateral surface area of a cylinder is the circumference of the circle (2 × π × radius) multiplied by the height of the can.
C. 18
9
16
in. 2
Correct!
D. 19
239
256
in. 2
Incorrect. The label of the can represents the lateral surface area of the cylinder.
A neighborhood water tank is in the shape of a cylinder, as shown below. As a part of regular maintenance, the neighborhood association has decided to paint the lateral surface and roof of the tank with a rust-proof paint.
What is the approximate surface area of the water tank that will be painted?
A. 452.16 square feet
Incorrect. This number is the area of the roof of the water tank, but you will also be painting the lateral surface.
B. 1394.16 square feet
Incorrect. This number is the lateral surface area of the water tank, but you will also be painting the roof.
C. 1846.32 square feet
Correct!
D. 2298.48 square feet
Incorrect. This is the total surface area of the water tank, but the bottom surface will not be painted.
A middle school carnival is making a tent out of canvas. The tent will be shaped like a rectangular pyramid, as shown in the figure. The tent will be composed of canvas and will not include the floor of the tent.
What is the least amount of canvas that will be needed to complete the tent?
A. 87.75 ft. 2
Incorrect. This number is the area of the left or right lateral face. You need to determine the sum of the areas of all 4 lateral faces.
B. 101.25 ft. 2
Incorrect. This number is the area of the front or back lateral face. You need to determine the sum of the areas of all 4 lateral faces.
C. 202.5 ft. 2
Incorrect. This number is the sum of the areas of the left and right triangular lateral faces. You need to determine the sum of the areas of all 4 lateral faces.
D. 380 ft. 2
Correct!
A triangular prism can be used to separate light into its component wavelengths, creating a rainbow. The triangular prism that Michaela used in her science class for a laboratory experiment is shown below.
What is the total surface area of the triangular prism?
A. 78.6 cm2
Correct!
B. 63 cm2
Incorrect. This number is the lateral surface area of the prism and does not include the areas of the bases.
C. 54.6 cm2
Incorrect. This number is the volume of the prism.
D. 15.6 cm2
Incorrect. This number is the sum of the areas of both bases, but does not include the lateral faces of the prism.
U-Store-It Packing and Shipping uses cube-shaped boxes to pack and ship items. The medium-size box is shown in the diagram.
What is the total surface area of the medium-sized box?
A. 3
33
64
square feet
Incorrect. This number is the area of one face of the medium-size box.
B. 6
303
512
square feet
Incorrect. This number is the volume of the medium-size box.
C. 14
1
16
square feet
Incorrect. This number is the lateral surface area of the medium-size box.
D. 21
3
32
square feet
Correct!