Volume of Prisms
Volume and Surface Area (points times 2)
Surface Area of Prisms
Vocab
100
Lauren’s family room is the shape of a rectangular prism with a volume of 1,120 cubic feet. If she decides to knock out the wall and triple the length of her family room, what will be the new volume?
3360 ft3
100
David and Karen are building a treehouse in the shape of a rectangular prism for their daughter. If the treehouse is going to be 5 feet tall, 8 feet wide, and 7.5 feet long. How much space will there be inside? How much space will they have to paint on the outside?
Inside: 300 ft3
Paint: 275 ft2
100
If the lateral area of this shape is 54 in2, what is the value of x?
7 in
100
Faces
Closed, flat surface surrounded by vertices and edges.
200
How much salt is needed to fill a pit that is 10m deep and 8m wide and 12m long?
960 meters cubed
200
What is the surface area and volume of the shape
Volume: 336 in3
SA: 292 in2
200
Find the surface area of the triangular prism shown opposite.
624 cm2
200
Volume
The amount of "space" a shape takes up. Expressed as 1 unit cubed that "fit" in the solid.
300
60 cubes
300
Find the surface area and the volume of the prism:
Volume: 1800 cm3
Surface Area: 1060 cm2
300
Dara is building a plant stand shown below. She wants to stain the plant stand, except for the bottom of the larger prism. Find the surface area of the part of the plant stand she will stain.
976 in2
300
Vertex
Corners of angles or shapes
400
A fish tank is 50 centimeters long, 30 centimeters wide, and 40 centimeters high. It contains water up to a height of 28 centimeters. How many more cubic centimeters of water are needed to fill the tank to a height of 35 centimeters?
10,500 cm3
400
Find the surface area and the volume of the prism
Volume: 128 in3
Surface Area: 216 in2
400
Find the surface area of this compound shape
582 ft2
400
Edges
Lines of connection between two faces of a 3D shape.
500
A rectangular container has a base that is 12 inches long and 8 inches wide. The container is filled with water to a height of 6 inches. If all the water is poured into a second container with a square base, it will rise to a height of 16 inches. What is the length of one edge of the square base of the second container?
6 in
500
Find the surface area and the volume of the prism:
Volume: 136 cm3
Surface Area: 268 cm2
500
The solid below is made up of cubes, each of which has an edge length of 3 inches. What is the total area that can be seen?
171 in2
500
Prism
3D shape that has 2 parallel bases that are connected by rectangular faces.