Calculating Areas of Shapes

This video tutorial covers the concept of surface area, focusing on rectangular prisms and trunks. It explains how to calculate surface area, compare different figures, and draw various types of triangles. The tutorial also includes exercises on finding the area of specific triangles and composite shapes, providing a comprehensive understanding of geometry concepts.

What is the total surface area of a rectangular prism with dimensions 4x2, 4x4, and 2x4?

• 80 square units

• 48 square units

• 64 square units

• 32 square units

Which option best describes the surface area of a trunk?

• Square feet covering the outside faces

• Square inches covering the top

• Square inches of the horizontal surface inside

• Cubic feet that can be packed inside

What is the surface area of a rectangular prism that is 4 units high, 2 units wide, and 6 units long?

• 88 square units

• 72 square units

• 104 square units

• 96 square units

If a right triangle has an area of 6 square units, what could be its base and height?

• Base 3, Height 4

• Base 2, Height 6

• Base 4, Height 3

• Base 5, Height 2

What is the area of an obtuse triangle with a base of 6 and a height of 2?

• 8 square units

• 6 square units

• 4 square units

• 12 square units

How do you find the area of triangle MOQ inside a rectangle?

• Multiply the base and height of the rectangle

• Subtract the areas of surrounding triangles from the rectangle

• Add the areas of surrounding triangles

• Divide the area of the rectangle by 2

What is the area of triangle MOQ if the rectangle's area is 60 and the surrounding triangles' areas are 20, 15, and 5?

• 25 square units

• 20 square units

• 15 square units

• 10 square units

How do you calculate the area of a shape by decomposing it into triangles?

• Add the areas of all triangles

• Divide the total area by the number of triangles

• Subtract the smallest triangle's area

• Multiply the base and height of the largest triangle

What is the total area of a shape composed of one large triangle and two smaller identical triangles?

• 12 square units

• 15 square units

• 18 square units

• 21 square units

If a shape is decomposed into triangles with areas 9, 3, and 3, what is the total area?

• 18 square units

• 15 square units

• 12 square units

• 9 square units