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Math Assignment: Geometry
June 2008
Name:
*Illustrate and show all your work for all questions.*
1. Adam wants to wallpaper the rooms of his new apartment.
The dimensions of the room are 35m by 20m by 3m. The
room has two identical windows that are 1m by 1m and a
door that is 1m by 2m. Each roll will cover 30 square
metres of wall. How many rolls will Adam require?
2. An equilateral triangular prism has a base of 15cm. The
altitude of the triangle is two fifths the base and the height
is 35cm. Determine the volume of the prism.
3. A missile is 6m long including the .75m conical end. The
base of the missile is .5m in diameter. Determine the
volume of the missile.
4. Find the TSA of an octagonal prism with a height of 45cm,
sides totaling 120cm and an apothem of 9cm.
5. How much ice cream can fit into a cone that is 18cm long
and has a diameter of 6cm. (The ice cream does not over
flow the cone.)
6. A triangular prism with a base of 10m, a height of 10m, and
sides of 8m and 7m has a volume 200 metres3 . Determine
the altitude.
6b. Determine the LSA of the triangle in #6a.
7. My fish tank has a volume of 135000 cubic cm. It is 30cm
wide and 45 cm high. How long is the tank?
8. A block of wood is 50cm by 90 cm by 40 cm. If three holes
are drilled into the block that completely pass through the
block from top to bottom, each with a radius of 6cm, what
volume of wood remains?
9. A farmer, Jill, wants to paint the outside of her silo. The
silo is 32m tall with a diameter of 4m. What area will she
have to paint?
10. A triangular prism has an altitude of 3m, a base of 6m, and
sides of 7m and 9m. If the height of the prism is 22m, determine
the TSA.