Area, Volume, and Surface Area: Grade 6 Challenges

A rectangular garden measures 10 meters in length and 5 meters in width. What is the area of the garden?

• 40 square meters

• 25 square meters

• 30 square meters

• 50 square meters

A box has a length of 4 cm, a width of 3 cm, and a height of 5 cm. What is the volume of the box?

• 45 cm³

• 60 cm³

• 12 cm³

• 20 cm³

If a swimming pool is 8 meters long, 4 meters wide, and 2 meters deep, what is the volume of water it can hold?

• 80 cubic meters

• 48 cubic meters

• 32 cubic meters

• 64 cubic meters

A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 4 cm. What is its surface area?

• 96 cm²

• 84 cm²

• 72 cm²

• 108 cm²

A circular table has a radius of 1.5 meters. What is the area of the tabletop?

• Approximately 3.14 square meters

• Approximately 9.42 square meters

• Approximately 7.07 square meters

• Approximately 12.56 square meters

A cube has a side length of 2 cm. What is the surface area of the cube?

• 24 cm²

• 36 cm²

• 12 cm²

• 8 cm²

A fish tank is 1 meter long, 0.5 meters wide, and 0.5 meters high. How many liters of water can it hold? (1 cubic meter = 1000 liters)

• 100 liters

• 250 liters

• 500 liters

• 750 liters

A rectangular box has a surface area of 94 square centimeters. If the length is 5 cm and the width is 3 cm, what is the height of the box?

• 6 cm

• 5 cm

• 3 cm

• 4 cm

A cylinder has a radius of 3 cm and a height of 10 cm. What is the volume of the cylinder? (Use π ≈ 3.14)

• 150 cm³

• 360 cm³

• 282.6 cm³

• 94.2 cm³

A rectangular field is 20 meters long and 15 meters wide. If a fence is built around it, what is the total length of the fence needed?

• 60 meters

• 80 meters

• 50 meters

• 70 meters