The Volume Zone
Surface Area Stars
Nothing But Net
Coordinate Corner
Area & Perimeter
100
The juice box is 5in. long, 2in. wide, and 4in. high. Find the volume of the juice box
40 in3
100
Which expression correctly represent the surface area of a 5x4x2 rectangular prism?
2(5+4+2) OR 2(5x4 + 5x2 + 4x2)
2(5x4 +5x2 + 4x2)
100
Ferb claims this is a net represents a 4x3x2 rectangular prism. Each square of the graph paper is 1 inch. Is his claim true?
True! There are 6 faces in a rectangular prism and the dimensions are 4x3, 4x2, and 3x2
100
Plot the point (3, −2). Which quadrant is it in?
Quadrant 4
100
Find the area of a rectangle with a length of 5 ft and a width of 4 ft
5x4 = 20 ft2
200
A rectangular prism has dimensions 6 m × 2 m × 4 m.
Find the volume.
Volume = 48 meters3
200
A box is 6in. x 4in. x 2in. What is it's surface area?
88in2
200
How many faces does a pentagonal pyramid have?
6 faces! 1 pentagon base & 5 triangles
200
Plot the point (−4, 5). Which quadrant is it in?
Quadrant 2
200
Find the perimeter of a rectangle with a length of 7 meters and a height of 3 meters.
7+7+3+3 = 20 meters
300
A Mini Crystal Cube measures 3/4in x 3/4 in x 3/4 in. Calculate the volume of the crystal cube
27/64 inches3
300
A square pyramid net has a base area of 9m2 and an area of each triangle of 3m2. Write an equation for the surface area.
Surface Area = 4(3m2) + 9m2
300
Which of the following cannot fold into a cube?
A) A net with 6 squares
B) A net with 5 squares
C) A net with 4 squares
B and C. A cube is by a net of 6 square faces.
300
Plot these points: A(2, −3), B(6, −3), C(4, −6) What shape do they form?
Triangle
300
DOUBLE JEOPARDY!! Choose how many points you want to bet. You can NOT bet more points than you have.
A triangle has base length of 8cm and height of 5cm. Calculate the area.
20cm2
400
Phineas multiplies 1/2 in x 1/2 in x 1/2 in and gets 3/2 in3. Where did he make his first mistake?
Step 1: He used the formula V=lwh
Step 2: He adds 1/2 + 1/2 + 1/2
Step 3: He gets 3/2
Step 4: This means the volume is 1 1/2 in3
STEP 3! He should've multiplied the denominators across to get 1/8 in3 instead of adding the side lengths.
400
Write an expression that represents the surface area of a 6x3x2 rectangular prism?
2(6x3) + 2(6x2) + 2(3x2)
.
400
Which net shows 6 equal squares connected together.
What 3D figure will it form?
D! It forms a cube.
400
Calculate the area of the triangle formed by the points A(4, -4), B(6,-2) and C(8,-6)
6 units2
400
ASA is creating a vegetable garden at the school. Calculate the area of the garden.
150 ft2
500
A rectangular prism has a length of 3 & 1/2in, a width of 2 in, and a height of 1& 1/2in. Calculate the volume of the prism. How many Mini Crystal Cubes (with side length of 1/2in) would be needed to fill the prism?
Volume = 10 & 1/2 in3
It would take 84 Mini Crystal Cubes to fill the prism. We multiply the side lengths by 2 because each Mini Crystal Cube is 1/2in.
LENGTH: 7/2 x 2 = 7
WIDTH: 2 x 2 = 4
HEIGHT: 3/2 x2 = 3
7x4x3 = 84 cubes
500
Which box design uses the LEAST amount of cardboard for a volume of 24in3? Solve for the total Surface Area.
Box A: 2 x 3 x 4
Box B: 1 x 1 x 24
Box A: 2 x 3 x 4 has a surface area of 52
Box B: 1 x 1 x 24 has a surface area of 98
Therefore, Box A uses the least amount of cardboard
500
Draw a net for a 5x4x2 juice box. Each square on the graph paper represents one inch.
500
Plot the points: G(3, −2), P(7, −2), K(5, −6)
Find the area of the triangle
Area = 8 units2
500
Two rectangles both have area 24 square units.
Rectangle A: 6 × 4
Rectangle B: 12 × 2
Which has the greater perimeter?
Rectangle B