Square pyramid has base edges of length 20, slant height of length 26. Find the lateral area.
1040 units squared
100
Find the surface area of a cube whose volume is 125 cubic units.
150 units squared
100
Find the volume of a right with height 15 and base radius 8.
1005.3 units cubed
100
For each situation, which measure is needed, surface area or volume?
a. The cushions of an old sofa are to be re-stuffed with material.
b. The old sofa is to be recovered
c. The manufacture of paper bags is determining how much cement a bag holds.
a. Volume
b. Surface area
c. Volume
100
A right cone has a slant height L and base radius r. Find a formula for this lateral area in terms of L and r.
(PI)rL
200
A pile of sand has been stored in the shape of a cone. The yard-keeper knows that the pile is 20ft tall and 102ft in circumference at the base. What is the lateral area of the conical tarpaulin needed to cover the pile?
1314ft
200
A right cylinder has a height of 9 and base radius of 4. Find the surface area.
327 units squared
200
How many sugar cubes with 1-cm edges can be packed in a box that is 12cm wide, 5cm long and 20cm tall?
1200 cubes
200
A cube has a surface area 54e^2. Find: a. The length of an edge. b. it's volume.
a.3e units
b. 27e^3 units cubed
200
Perry Plastic Products advertised a plastic stacking cube for closets which, "holds 2000 cubic inches of stuff". What is the length of an edge of the cube?
12.6 inches
300
The slant height of a regular pentagonal pyramid is 20. The perimeter of the base is also 20. Find the lateral area.
200 units
300
Rind beads 1cm in diameter are to be gilded with a thin layer of gold. If one container of gold will cover 100 square cm of surface with the desired thickness, how many beads can be covered with one container of gold?
32 beads
300
A silo is a tall cylindrical-shaped container and holds chopped gain for cattle feed. Which holds more, a silo 50ft tall with a diameter of 10ft, or one 35ft tall with a diameter of 12ft?
The shorter, wide one holds more
300
How is a cone like a pyramid?
Both have one base and one vertex not on the base.
300
A box has the dimensions l, w, and h. If the dimensions are reduced to 1/2, 1/3, and 1/4 the original size, what happens to the volume?
The new volume = 1/24 the original.
400
How much paper covers the outside of a cone-shaped megaphone whose large end has a radius 4" and whose slant height is 18"?
226 inches squared
400
Find the surface area of a right cone whose diameter it 7 and height is 10.
155 units^2
400
An ice cream cone holds 1/8 pint of ice cream. (The rest of the ice cream is on the top of the cone.) If the cone has a diameter of 2 inches, how high does it need to be?
3.4 inches
400
A regular square pyramid has a height of 30 and has two side lengths as 80. Find the slant height, lateral area, and surface area.
A.50
B.8000
C.14400
400
Find the volume inside of a pipe 20cm long with an inside radius of 3 cm.
565 cm cubed
500
The sides of the base of an ancient square pyramid are 100 cubits. The pyramid is 50 cubits high. Find its lateral area.
14142 cubits squared
500
Give the surface area of a sphere with a radius of 72.
65144 units squared
500
The largest asteroid Ceres, has a diameter of 485 miles. If Ceres were spherical shape, what would be it's volume.
59734000 miles cubed
500
A gardener pointed to a rectangular flower bed and said, "if I had made that bed 2ft wider and 3ft longer, it would be 64 square feet larger; and if I had made it 3ft wider and 2ft longer, it would be 68 square feet larger." Find the length and width of the flower bed.
14ft by 10ft
500
Jack made a spherical cheese ball for a party. He formed it from a block of cheese 8cm by 8cm by 20cm. What is the diameter of the cheese ball?