by BlastRoom
Solve modeling problems using geometric volume and surface area.
#geometry

40 questions
One question set, multiple game modes. Tap any game to see it in action. Not sure which to pick?
Answer to place stones and capture territory.
Outrun the snow together.
Earn blasts, then hunt the other team.
Answer to earn energy, then climb.

The class blasts through walls together.
Bid on mystery lots. Most money wins.
Sell tours. Nice, standard, or a total scam.
Answer, restock, and serve the rush.
More correct answers pulls the rope your way.
Answer, then shoot down the alien wave.
Answer, then tap to leap the frozen ridge.
A solid cylinder has radius 3 cm and height 10 cm. Its density is 2 g/cm³. Using pi = 3.14, what is its mass?

A rectangular tank is shown with its dimensions labeled. How many liters of water can it hold?

A closed display box is shown with its dimensions labeled. Paint covers 10 per liter. How many liters are needed for one coat?

A cylindrical container must hold 6280 . Its radius is 10 cm. Using pi = 3.14, what height should it have?

The figure shows a rectangular stone block with its dimensions labeled. Its density is 2.7 g/cm³. What is its mass?

A cylindrical water silo has radius 1 m and height 2 m. Using pi = 3.14, what is its capacity in liters?

A label wraps around only the curved side of a cylindrical can with radius 5 cm and height 12 cm. Using pi = 3.14, how much paper is needed?

An aquarium must hold 120 L of water. Its base is 80 cm by 50 cm. What height is needed?

A steel ball has radius 4 cm and density 7.8 g/cm³. Using pi = 3.14, what is its mass, rounded to the nearest gram?

A cone-shaped funnel has radius 12 cm and height 25 cm. Using pi = 3.14, how many milliliters can it hold?

A spherical ornament has radius 7 cm. Coating covers 20 per milliliter. Using pi = 3.14, how many milliliters are needed, to the nearest tenth?

A cone cup must hold 314 . Its height is 12 cm. Using pi = 3.14, what radius is needed, to the nearest tenth?

A solid metal cone has radius 6 cm, height 15 cm, and density 8.9 g/cm³. Using pi = 3.14, what is its mass?

The inside of a rectangular bottle is shown with its dimensions labeled. How many milliliters can it hold?

An open-top planter is shown with its length, width, and height labeled. A liner covers the inside bottom and four walls. How many square centimeters are covered?

A square pyramid package must have volume 500 and height 15 cm. What base edge length is needed, to the nearest tenth?

A triangular-prism beam is shown with its triangular cross-section and length labeled. Its density is 0.6 g/cm³. What is its mass?

A spherical flask has inside radius 6 cm. Using pi = 3.14, how many milliliters does it hold, rounded to the nearest whole milliliter?

A cone-shaped party hat has radius 9 cm and slant height 15 cm. Using pi = 3.14, how much cloth covers its lateral surface?

A storage bin must have volume 180000 . Its base is 60 cm by 50 cm. What height is needed?

A glass panel is 60 cm by 40 cm by 0.5 cm. Glass density is 2.5 g/cm³. What is the panel's mass in kilograms?
A triangular-prism trough is shown with its cross-section dimensions and length labeled. How many liters can it hold?

A square pyramid roof has base edge 10 m and slant height 13 m. Shingles cover 20 m^2 per bundle. How many bundles cover the four lateral faces?

A cylindrical bottle must hold 1.5 L and be 20 cm tall. Using pi = 3.14, what radius is needed, to the nearest tenth?

A marble cylinder pedestal has radius 0.4 m, height 1.2 m, and density 2700 kg/m³. Using pi = 3.14, what is its mass, nearest kilogram?

A fish tank is shown with its dimensions labeled. How many liters of water does it hold when full?

A triangular-prism tent is shown with its length and triangular-end dimensions labeled. Fabric covers the two ends and two sloped sides. What area is needed?

A spherical bead should have volume 288pi . What radius should it have?

A cylindrical aquarium has water radius 25 cm and depth 40 cm. Water density is 1 g/cm³. Using pi = 3.14, what is the water's mass in kilograms?

A storage bin is shown with its dimensions labeled. What is its capacity in liters?

A closed cylindrical tank has radius 2 m and height 5 m. Anti-rust coating covers all outside surfaces. Using pi = 3.14, what area is coated?

A hollow plastic tube must use 502.4 of plastic. Its length is 10 cm and outer radius is 5 cm. Using pi = 3.14, what inner radius is needed?
A wooden toy is a 10 cm by 6 cm by 4 cm block with a half-cylinder of radius 3 cm and length 10 cm on top. Density is 0.9 g/cm³. Using pi = 3.14, what is its mass?
A cylindrical test chamber has diameter 10 cm and height 30 cm. Using pi = 3.14, how many milliliters can it hold?

A cube display case has edge length 0.5 m. Protective film covers all six faces, and one roll covers 1.5 m^2. What minimum number of rolls is needed?

An aluminum tube is 20 cm long with outer radius 5 cm and inner radius 3 cm. Aluminum density is 2.7 g/cm³. Using pi = 3.14, what is its mass, nearest gram?
A cone-shaped paper cup has diameter 8 cm and height 9 cm. Using pi = 3.14, how many milliliters can it hold, to the nearest tenth?

A soap bar is shown as a rectangular prism with its dimensions labeled. Its wrapper needs the surface area plus 10% overlap. How many square centimeters are needed?

A concrete sphere has radius 0.3 m and density 2400 kg/m³. Using pi = 3.14, what is its mass, rounded to the nearest kilogram?

A square-pyramid paperweight has base edge 8 cm, height 9 cm, and density 3 g/cm³. What is its mass?

Crack the passcode before the zombies get in.
Answer, then swat bugs for bonus points.
Race through questions at your own speed.
Same question on every screen. Fastest wins.

Pick a tile, answer, hit bonuses and steals.
Coordinate Proofs
20 questions