Geometry - practice problems - page 5 of 163

Number of problems found: 3251

Saria
Saria is wrapping a gift for her mother. The gift box is in the shape of a rectangular prism and is 5 centimeters high, 25 centimeters long, and 40 centimeters wide. How much wrapping paper will you need to wrap the gift box?
Storage shed
Frank designed a net for a storage shed that he is going to construct out of metal. The design consists of a square base and four square sides, plus four triangular parts that make up the roof. A square base of 6 feet and four square sides, plus 4 feet of
The volume 8
The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. 3 mm base. Find the height.
Lamp shade
A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of bases 3 in. and 7 in. respectively. How much material is used in its construction if ¼ in. is allowed for the seam.
Eva wraps
Eva wraps a gift box in the shape of a right rectangular prism. The figure shows a net for the gift box. How much wrapping paper did she use, in square meters?
A capsule
A medicine capsule is a cylinder with two hemispheres stuck to each end. Its length is 14 mm, and its diameter is 5 mm. Find its surface area.
Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters?
The cup
In a measuring cup set, the cup measure is 6 cm wide. The set also contains a 1-cup measure and a cup measure, both of which are similar in shape to the cup measure. Find the width of: a) 1/2 cup b) the 1 cup measure c) the 1/3 cup measure.
A bakery
A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one-fourth inches in height. If each mini muffin is completely wrapped in paper, how much paper is needed to wrap 6 mini muffins? Approximate using pi equals 22 over 7.
Prism - base and height
Find volume of the prism if the base area equals 20 inches² with the height is 12 inches.
The area 4
In square decimeters, how much is the area of a cylinder with a height of 2 dm and a diameter of 1 dm? "
Two cubes 2
Two cubes each of volume 125 cm³ are joined end to end. Find the surface area of the resulting cuboid .
A lamp
A lamp shade like that of a frustum has a height of 12 cm and an upper and lower diameter of 10 cm and 20 cm. What area of materials is required to cover the curved surface of the frustum?
Spire - prism
Calculate the surface of a spire with a base in the shape of a rectangle with dimensions of 5m and 6m. The height of the spire is 7m.
Height of the box
The box needs to have a volume of 108 ¾ cubic inches. If its width is 7 ¼ inches and its depth is 1 ¼ inches, what must its height be?
Double sides
If each side of a triangle is doubled, then find the ratio of the area of the new triangle thus formed to the given triangle.
Cuboid - sum of edges length
Calculate the cuboid's dimensions if the sum of its edges is 19 cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm².
Midpoint 11
Consider the following line segment - start point A=(-4,1), endpoint B=(4,-1). Find the midpoint. Please show your work.
A piece 7
A piece of dry ice is in the shape of a cube with edge lengths of 7cm. Find the surface area of the dry ice.
The volume 9
The volume of a large tank is 210 yd³. It is 2 2/5 yd wide and 2 4/5 yd high. What is the length of the tank?

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