Examples of area of plane shapes - page 7 of 126
Number of problems found: 2505
- A conical
A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent. - 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 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. - The radius 3
The radius of a solid circular cylinder decreases by 20% and its height increases by 10% . Find the percentage change its : (a) volume (b) curved surface area. - 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? - 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. - 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?
- Two cubes 2 Two cubes each of volume 125 cm³ are joined end to end. Find the surface area of the resulting cuboid .
- 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?
- Spheres - ratios
The surface area of two spheres are in the ratio 1 : 4 . Find the ratio of their volumes. - A cube 4
A cube of edge 5 cm is cut into cubes, each of edge 1 cm. Find the ratio of the total surface area of one of the small cubes to that of the large cube. - The cuboid 2
If the areas of three adjacent faces of a cuboid are 6,10,22 respectively then find the volume of the cuboid. - A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume. - The surface 5
The surface area of a cylinder is 6140 cm², and the radius is 25 cm. What is the height? - Surface = volume
If the volume and the surface area of a sphere are numerically the same then find its radius.
- 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. - The frustum A frustum of a pyramid is 4 cm at the top and 7 cm at the bottom square, and it's 6 cm high. Calculate the volume of the frustum.
- Ones cube Find the volume of a cube whose total surface area is 6 m².
- 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? "
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