Question

24. One face of a cube has an area of 9 cm^2. What is the surface area and volume of the cube?

25. How do you calculate the surface area of prisms?

26. How do you calculate the volume of prism?

27. As you change the dimensions of a prism by a certain scale factor how does the SA and volume change?

28. For a prism with a fixed height and lateral face area, how do the volume and surface area of the prism change as the number of sides surfaces?

29. What is the relationship between the diameter and circumference of a circle?

30. How do you calculate the volume in a prism?

Answer 1

24.

A cube has 6 faces. One face = 9 cm^2

9 x 6 = 54 cm^2

25. Calculate the area of each side then add them all together.

26. Multiply the length by the width by the height.

27. Surface are is squared, so you need to square the scale factor.

Volume is cubed, so you need to cube the scale factor.

28. As the number of sides increase the surface area and volume would increase.

29. The relationship between the two is the value of PI.

If you know the diameter, you multiply that by PI for the circumference.

If you know the circumference divide that by PI to get the diameter.

30. This is the same question as 26 above.

Answer 2

25.

answer:

area of 1 face =9cm²

length=3cm

surface area of cube =6×3²=54cm²

volume=3³=27cm³

25.

surface area=sum of area of each side

26.

.volume of prism=area of base×height