We study unit conversion, as well as volumes and surface areas of composite solids.

For unit conversion, 1 m = 100 cm, 1 m^2 = 100×100 cm^2, and 1 m^3 = 100x100x100 cm^3.

With composite solids, it is important to identify how the solid is made up. This is usually reflected in its cross-section is made up. Often we need to figure out how to calculate the area of the cross-section.

We won’t have school until 1/11/2015 when we will have a review session. On 1/18/2015, we will have our final for the Fall semester.

Homework: Page 37, #8, #9, #13, #24 – 27.

We study volume and total surface area of a prism.

A prism is a solid with two parallel polygon for its end faces and a uniform cross-section. Each face is a base and a prism is named by the shape of its base. Hence we have triangular prism, rectangular prism, pentagonal prism, etc.

The perpendicular distance between the two bases of a prism is called its height. The other faces of a prism are called lateral faces. For now, we shall only consider those right prisms whose lateral faces are rectangles.

The volume of a prism = Base area * Height

Total surface area of a prism = perimeter of the base * Height + 2 * (Base area)

Homework:

Page 35, #4 – #7, #16 – #19, #22, #23.

We talk about volumes and total surfaces areas of cubes and cuboids.

For a cube with the side as x, its volume is x^3 and total surface area is 6x^2.

For a cuboid with sides as l, w, h, its volume is lwh and total surface area is 2(lw + lh + wh).

Homework:

Page 35, 1(a,c,e), 2(b,d,f,h), 3, 8(a,b), 10, 11, 12, 13, 25, 26