Geometry - practice problems - page 5 of 162

Number of problems found: 3232

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.
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?
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? "
Midpoint 11
Consider the following line segment - start point A=(-4,1), endpoint B=(4,-1). Find the midpoint. Please show your work.
Two cubes 2
Two cubes each of volume 125 cm³ are joined end to end. Find the surface area of the resulting cuboid .
Prism - base and height
Find volume of the prism if the base area equals 20 inches² with the height is 12 inches.
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?
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?
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.
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.
A boat 2
A boat can travel with a speed of 13 km/h in still water.If the speed speed of stream is 4 km/h, then find the time taken 1) to go 68 km downstream . 2) to go 63 km upstream .
Midpoint between conjugate
Find the midpoint between two roots: 2+3.464i and 2 - 3.464i
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.
A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain.
The surface 5
The surface area of a cylinder is 6140 cm², and the radius is 25 cm. What is the height?

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