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Inverse Operations
Word Problems
100
A ______ is a polyhedron with one polygon base and an apex that connects all of the lateral faces.
A Pyramid
100
Find the total area of a prism if the lateral area = 276cm and the surface area = 281367cm
281643cm2
100
What is the area of a square pyramid if the apothem is 18mm and the side length is 5mm
45mm
100
What is the apothem length of a right octogonal prism with an area of = 60cm and a side length = 5cm
30cm
100
cm2 = centimeters squared In a grocery store, they sell boxes of chocolates in the shape of an octagonal prism. The lateral area of the box is 80cm2, the apothem of the octagon is 3cm and the side length is 4cm. The space on the shelf for the boxes is 6688cm2 big. How many boxes can they fit on the shelf?
38 boxes
200
What do you call the shape when you "unfold" the pyramid or prism?
The net
200
Find the area of a base of a square pyramid if one sides = 8m
64m2
200
Find the total surface area of a square base pyramid if the base is 7 cm by 7 cm and the height is 12cm
217cm
200
What is the side length of a hexagonal prism with the area 24m, and the apothem length 4m.
2m
200
In Egypt, there are 140 pyramids. Each pyramid has an area of 2345m. The bricks that the pyramids are made of have a height of 0.4m and a length of 0.7m. How many bricks did it take to build all of the pyramids?
328300 bricks
300
A ______ is a polyhedron with two congruent polygon bases connecting the lateral faces?
A Prism
300
Find surface area of a pentagonal prism if one of the sides =378cm and the apothem = 6cm
11340cm2
300
Find the total area of a square pyramid if the base 15cm and the height is 12cm
585cm
300
What shape would the base of a prism be with an area of 25,000cm,and the apothem = 50cm and the side length = 100cm
decagon ---> 10 sides
300
Holly and Ashley are putting up a tent. They want to know the total surface area of the tent if the base of the tent it 3.2 m by 4m and the height of the walls are 5 m
48.8m
400
What is the apothem?
It is the segment that goes from the apex down the centre of one of the lateral faces.
400
Find the surface area of a square pyramid if one side = 82 cm
6724cm2
400
Find the total surface area of a regular decagonal pyramid if one the sides of the base is 3.9 mm and the apothem is 6mm. The height of one of the lateral sides is 10mm
312mm
400
What is the apothem length of a pentagonal prism if the total area = 750cm, the lateral area = 500cm and the side length = 5
10 cm
400
Dave Strider went shopping for some sunglasses. On his way the store, he found an octagonal prism lying on the street. Being him, he has to measure the lateral area. The bases side lengths are 6.7 cm, the apothem is 4.3 cm and the length of the prism is 9.4 cm. What is the lateral area?
527.32cm