Surface Area
What is surface area?
The total area of all the faces of a three dimensional figure.
What is a net?
A 2-D representation that can be folded to make a 3-D figure.
Which measures the amount of space inside a solid: surface area or volume?
Volume
49
A Cube has edge length 4 units. What is the area of one face ?
16 square units.
A rectangular prism is 5 units long, 3 units wide and 2 units high. What it is surface area?
62 square units
A valid net has six congruent squares. What solid can it form ?
A Cube.
What units are used for surface area and volume?
Square units for surface area. Cubic units for volume.
What is 33?
27
A Cube has edge length 4 units. What is its surface area?
96 square units
A rectangular prism is 8 cm by 4 cm by 3 cm. What is the surface area ?
112 squared cm
How many faces, edges, and vertices does a rectangular prism have?
6 faces, 12 edges, and 8 vertices.
A box is 6 cm by 4 cm by 3 cm. Find the surface area and the volume.
Surface area: 108 cm^2
Volume: 72 cm^3
Write 6x6x6 using an exponent and find its value.
63=216
A Cube has edge length 8 cm. Find its surface area.
384 cm2
a rectangular prism is 10 by 6 by 4 units. A students says its surface area is 240 square units. Is the student correct ?
No. 240 is the volume. The surface area is 240 square units.
Why would six squares connected in one straight row not make a valid cube net?
The faces would overlap or fail to close correctly when folded.
Two rectangular prisms have the same volume. Must they have the same surface area ? Explain
No. Different dimensions can give the same volume but different surface area.
A square has an area 144 square units. What is the length of one side ?
12 Units
A Cube has surface area 294 cm2. What is the edge length ?
7 cm
A rectangular prism is 12 units long, 5 units wide and x units high. Its surface area is 214 square units. Find x.
214 = 120 +34x, so x=47/17, about 2.76 units.
A polyhedron has 8 vertices and 12 edges. How many faces does it have ?
6 faces.
Prism A is 10 by 5 by 4. Prism B is 20 by 5 by 2. Compare their volumes and surface area.
Both volume are 200 cubic units. A has surface area of 220 square units. B has a surface area of 300 square units.
A Cube has volume 729 cubic units. Find its edge length and surface area.
Edge = 9 units
Surface area = 486 square units.
A Cube has surface area 600 square units. Find its edge length and volume.
Edge = 10 units.
Volume = 1,000 cubic units