# Solved Problem 04 | Rectangular Parallelepiped

**Problem 4**

A packing box 2.2 ft. by 4.9 ft. by 5.5 ft. is to be completely covered with tin. How many square feet of the metal are needed? (Neglect waste for seams, etc.)

# Solved Problem 03 | Rectangular Parallelepiped

**Problem 3**

Building bricks are closely stacked in a pile 7 ft. high, 36 ft. long, and 12 ft. wide. If the bricks are 2 in. by 4 in. by 9 in., how many bricks are in the pile?

# Solved Problem 02 | Rectangular Parallelepiped

**Problem 2**

Compute the cost of lumber necessary to resurface a footbridge 16 ft. wide and 150 ft. long with 2-in. planks, if lumber is \$40 per 1000 board feet. Neglect waste. (One board foot = 1 ft. by 1 ft. by 1 in.)

# Solved Problem 01 | Rectangular Parallelepiped

**Problem 1**

Counting 38 cu. ft. of coal to a ton, how many tons will a coal bin 19 ft. long, 6 ft. wide, and 9 ft. deep contain, when level full?

# Solved Problem 10 | Cube

**Problem 10**

Pass a plane through a cube so that the section formed will be a regular hexagon. If the edge of the cube is 2 units, find the area of this section.

# Solved Problem 09 | Cube

**Problem 09**

One cube has a face equivalent to the total area of another

cube. Find the ratio of their volumes.

# Solved Problem 08 | Cube

**Problem 08**

If a cube has an edge equal to the diagonal of another cube, find the ratio of their volumes.

# Solved Problem 07 | Cube

**Problem 07**

Find the area of the triangle whose vertex is at the midpoint of an upper edge of a cube of edge a and whose base coincides with the diagonally opposite edge of the cube.

# Solved Problem 06 | Cube

**Problem 06**

The plane section ABCD shown in the figure is cut from a cube of edge a. Find the area of the section if D and C are each at the midpoint of an edge.