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5.06 Applications of surface area

Interactive practice questions

The Louvre pyramid is a large glass and metal pyramid which serves as the entrance to the Louvre museum in Paris. It is a square pyramid with a perpendicular height of $22$22 m and a base length of $35$35 m.

If the surface of the pyramid (excluding the base) is entirely covered in glass, how many square metres of glass make up the structure?

Round your answer to the nearest square metre.

Easy
1min

Some very famous right square pyramids are the Egyptian Pyramids. Pictured here is the Great Pyramid, which is approximately $139$139 m in height. It has a base length measuring $230$230 m, and its triangular faces each have a height of $216$216 m.

Find the surface area of the Great Pyramid. Do not include the base of the pyramid in your calculation.

Easy
3min

The planet Saturn has a radius of $58232$58232 km, and planet Mercury has a radius of $2439.7$2439.7 km. How many times bigger is the surface area of Saturn than Mercury?

Easy
2min

If two identical spherical balls with radii of $1.4$1.4 m fit exactly inside a cylinder, what is the surface area of the closed cylinder?

Round your answer to one decimal place.

Easy
2min
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Outcomes

ACMGM020

calculate the surface areas of standard three-dimensional objects such as spheres, rectangular prisms, cylinders, cones, pyramids and composites in practical situations; for example, the surface area of a cylindrical food container

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