Square (second power, quadratic) + area of a shape - practice problems - page 2 of 62
Number of problems found: 1238
- 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. - Width and length
For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle? - The rectangle 6
The rectangle shown has a length (l) of 8 and a width (w) of 6.2. A second rectangle has a length of l + 2.5 and a width of w - 1.4. Find the area of the SECOND rectangle. (The area is in square units.) - Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What
- 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? - Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - Paper
The drawing paper has dimensions 220mm and 308mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares. - Steven
Steven is cutting construction paper into rectangles for a project. He needs to cut one 9 inches × 14 1/3 inches rectangle. He needs to cut another rectangle that is 10 1/2 inches by 10 1/3 inches. How many total square inches of construction paper does S - A rectangular 11
A rectangular plot of land has sides that are 1200m long and 900m wide. If a hectare (10000m²) of the land costs R5200,00, the cost of the entire plot is:
- A soccer
A soccer field (football pitch) has a length of 101.8 m and a width of 69.8 m. Find the total area of the field in square meters (m2) and convert this measurement to square yards (yd2). Use the fact that 1 yard = 0.9144 m. Round your answer to the nearest - Edmond 2
Edmond bought a new cage for his pet rabbit since he's gotten so big. The area of the old cage's floor was 6 square feet. The area of the new cage's floor is n square feet larger, for a total of 8 square feet. Write expressions that tell this story and fi - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m². - 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 - A sticky
A sticky note shaped like a rectangle has an area of 72 square centimeters. It has a width of 8 centimeters. How long is the sticky note?
- A triangle 9
A triangle has an area of 16 1/2 square units. The height is 3 2/3. What is the base? - Tool room
A 9' x 15' tool room was enlarged to 11' x 20'. How many square feet of floor space was added? - 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. - A contractor
A contractor wants to plaster Wall, which is 2650 m². He sends 50 masons to do the work equally. What size of the Wall does each Mason plaster? - The playground 2
The dome is built on the playground. The dome covers an area of 1 2/3 square meters, which is 5/840 of the total area of the playground. What is the total area of the playground?
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