Geometry and Measurement Problems

The video tutorial covers various geometry topics, including scale drawings, area and surface area calculations for different shapes, and the application of the triangle inequality theorem. It explains how to calculate the area of a parallelogram, the surface area of a rectangular prism, and the circumference and area of a circle. The tutorial also discusses supplementary and congruent angles, as well as the volume of a cube and the area of a picture with margins.

If a scale drawing uses a scale of 1 inch equals 4 feet, what is the actual length of a room that measures 7.5 inches on the drawing?

• 45 feet

• 15 feet

• 60 feet

• 30 feet

What is the area of a parallelogram with a base of 65 feet and a height of 40 feet?

• 3,000 square feet

• 2,800 square feet

• 2,400 square feet

• 2,600 square feet

How do you calculate the surface area of a rectangular prism?

• Multiply the base by the height

• Multiply the length by the width

• Add the areas of all six faces

• Add the length and the width

What is the formula for the area of a circle?

• r^2

• πd

• 2πr

• πr^2

Which pair of angles is supplementary?

• 40° and 140°

• 60° and 120°

• 45° and 135°

• 90° and 90°

What is the circumference of a circle with a radius of 67.5 meters?

• 426.9 meters

• 425.9 meters

• 423.9 meters

• 424.9 meters

Which angle is congruent to angle C X D if line CE intersects line DF at vertex X?

• Angle EXD

• Angle FXE

• Angle CXF

• Angle DXF

If a picture is placed on a sheet of paper with a 1.5-inch margin all around, what is the area of the picture if the paper is 8.5 inches by 10 inches?

• 38.5 square inches

• 40.5 square inches

• 42.5 square inches

• 44.5 square inches

How much red paint is needed to cover half the faces of a cube with an edge length of 9 inches?

• 81 square inches

• 243 square inches

• 162 square inches

• 324 square inches

What is the volume of a rectangular prism with dimensions 3 cm by 5 cm by 8 cm?

• 120 cubic centimeters

• 130 cubic centimeters

• 140 cubic centimeters

• 150 cubic centimeters