1) Mikael is building a box that is a cube shape and has a side length of 3.5 ft. He is making it out of 1/4 inch plywood. This plywood comes in standard sheets that are 4 ft by 8 ft.

Use the insert math equation button(?x) to answer the following questions.

a. What is the total surface area of the box?

b. How many sheets of plywood would Mikael need to create these boxes? (Hint: think about how he would cut the pieces, how many faces of the box can he fit on one sheet?)

2) Angela is painting a vase that is the shape of a cylinder. The vase has a radius of 4 cm and a height of 25 cm. She wants to paint the entire outside of the vase (base included).

What is the surface area of the painted area? Round your answer to the nearest whole number.

Hint: a vase has an open top.

b) what is the unit of surface area?

a. cm

b. cm2

c. m

d. m2

3) Paul wants to get a cone shaped tarp to cover his grain stockpile. The cone will have a diameter of 86 m and aheightof 27 m.

How much material is needed to create the tarp? Hint: you need to find the slant height of the cone. Record your answer to the nearest m2.

Use the insert math equation button(?x) to answer the following questions.

b) What is the volume of grain stockpile? Round to the nearest whole number.

c) What are the units on your answer from the last question?

4) A hot water tank is the shape of a cylinder and contains a layer of insulation and an outer shell. The outer dimensions are diameter = 70.0 cm and height = 158.9 cm. It has a rated capacity of 305 L.

Use the insert math equation button(?x)to answer the following questions.

a. What is the total volume of the tank? Round to the nearest whole number.

Hint: units for volume are cm3or m3.

b. Calculate the total capacity of the tank. Round to the nearest whole number.

c. Compare the rated capacity to the total volume of the tank. Express your answer to the nearest percent.

percent = rated capacity / total capacity x 100

5)

A diagram of a bulk coffee dispenser at a grocery store is shown below. The bottom has a sliding piece that can close and open the dispenser. 75 1. What is the volume of the dispenser? l: Round to the nearest whole number. 2. What is the capacity of the dispenser? 2 Round to the nearest whole number. 3. If one kilogram of coffee beans has a volume of 2250 cm3, how many kilograms of coffee beans can the dispenser hold? E Record your answer to one decimal place