01Question 1
Easy
A raised garden bed is shaped like a rectangular prism. The bed is 8 feet long and 3 feet wide, and it is filled with soil to a depth of 1.5 feet. What is the volume, in cubic feet, of the soil in the bed?
Geometry and Trigonometry
Area, surface area, and volume of rectangles, triangles, circles, prisms, cylinders, cones, pyramids, and spheres, plus how they change when lengths are scaled.
When lengths scale by k, area scales by k² and volume by k³. Mixing those up, or using a diameter where the formula needs a radius, are the classic errors.
Pick an answer to check it and see why. Practice sets also have grid-ins, where you type the answer.
Easy
A raised garden bed is shaped like a rectangular prism. The bed is 8 feet long and 3 feet wide, and it is filled with soil to a depth of 1.5 feet. What is the volume, in cubic feet, of the soil in the bed?
Medium
A square of side 10 has a circle of radius 5 inscribed in it. What is the area of the region inside the square but outside the circle?
Hard
A candle maker melts a solid block of wax shaped like a rectangular prism that measures 20 centimeters by 10 centimeters by 6 centimeters. All of the melted wax is poured into identical molds, each shaped like a right circular cone with a radius of 3 centimeters and a height of 8 centimeters. If no wax is lost, what is the greatest number of molds that can be filled completely?
Start a set in this skill. Every answer comes with an explanation.
67 questions in the bank: 12 Easy, 39 Medium, 16 Hard.