BrainDump Flashcard 8 (G.13, G.14)

Front

What is the term used for measurements in square units?

Back

Area

Front

In geometry, what does 'B' represent in formulas related to solids?

Back

The area of the base.

Front

What is the formula to compare ratios of areas when given the ratio of lengths?

Back

The ratio of areas is the square of the ratio of lengths.

Front

How do you calculate the volume of a cube?

Back

Volume = side length^3.

Front

If a box has dimensions of 4 feet tall, 4 feet long, and 5 feet wide, what is its volume in cubic inches?

Back

Volume = 4 ft * 4 ft * 5 ft = 80 ft^3 = 138240 in^3.

Front

What is the relationship between the scale factor of similar solids and their volumes?

Back

The volume ratio is the cube of the scale factor.

Front

How do you find the surface area of a sphere?

Back

Surface Area = 4πr^2, where r is the radius.

Front

If two spheres have a scale factor of 1:3, how does their surface area compare?

Back

The surface area ratio is 1:9.

Front

What is the formula for the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

How do you convert feet to inches?

Back

Multiply the number of feet by 12.