Functions
Surface Area
Volume
Application
100
What is the rate of change?
2.5
100
Find the surface area.
318
100
Find the volume.
2560
100
Fifteen metal spheres with the radii of 7 m are melted and this melted solution is poured into a cube with base dimensions of 5 m × 2 m. Find the height of the cube filled with solution.
2156
200
A, C, D
200
What is the surface area?
864
200
The volume of a cone is 100pi cubic inches. The diameter of the circular base is 10 inches. What is the height of the cone?
12 inches
200
Sarah is planning a party and needs to make 12 sundaes. Each sundae has 3 scoops of ice cream. Her ice cream scoop makes a perfect half-sphere with a diameter of 3 inches. She can buy ice cream in rectangular buckets that measure 5 in × 6 in × 4 in. Assuming the buckets are completely filled with no air gaps, how many buckets should she buy?
Use 3.14 for any approximations.
3 buckets
2.1195 exactly
300
What is the cost per hour in each parking lot?
Parking A: $8.50
Parking B: $8.25
300
Find the surface area
287.2
300
What is the volume of the remaining solid?
1,204
300
A fish tank is a rectangular prism measuring 36 in × 18 in × 20 in.
The bottom 3 inches of the tank will be filled with gravel before water is added.
a) What is the total volume of the tank?
b) What volume is taken up by gravel?
c) How much space is left for water?
a) 12,960
b) 1,944
c) 11,016
400
Write an equation in y=mx+b form to represent the table.
y= -8x+240
400
Find the surface area of the solid.
222
400
What is the volume of this solid? Use 3.14 to approximate.
168.535
400
A swimming pool is 25 ft long, 10 ft wide, and 6 ft deep.
The inside walls and bottom will be painted. One gallon of paint covers 350 square feet.
a) What is the total surface area to be painted?
b) How many gallons of paint are needed?
c) If paint costs $28.79 per gallon, what is the total cost?
a) 670
b) 2 gallons
c) $57.58
500
Which function has the greatest rate of change?
Function K
500
Find the surface area.
2304
500
Find the volume of the shape. There is a cylinder missing from inside the rectangular prism. Use 3.14 to approximate.
1,968.84
500
A gift box measures 14 in × 10 in × 6 in.
A ribbon is wrapped around the box in a cross pattern:
- One strip goes around the length and height
- One strip goes around the width and height
a) What is the surface area of the box?
b) If ribbon covers 2 inches of width and must fully go around each loop, how many square inches of ribbon are needed (ignore overlap)?
c) Which uses more material: wrapping paper for the box or ribbon?
a) 568
b) 144
c) wrapping paper