1) Estimate the circumference of the circle with the given radius or diameter. Use 3.14 for π. Round to the nearest unit.
2) Estimate the circumference of a circle with a radius of 4 inches. Use 3.14 for π. Round to the nearest hundredth.
3) Estimate the area of the circle to the nearest unit.
4)Name the figure
5)Find the surface area of the prism (Not drawn to scale).
6)Jamilla is building a square sandbox with sides 7 feet long. She wants to put sand 2 feet deep in the box. How much sand should Jamilla order?
7)Maria needs to wrap the box shown below with no overlap of the wrapping paper. how much wrapping paper does she need?
8)What is the volume of a rectangular prism that has a base area of 12 cm2 and a height of 8 cm?
please help i would be very grateful!
1) If the radius is 5 units, then the diameter is 10 units. Therefore, the circumference is approximately 31 units (10 x 3.14 = 31.4, rounded to the nearest unit).
2) The formula for circumference is C = 2πr, where r is the radius. Therefore, C = 2 x 3.14 x 4 = 25.12 inches (rounded to the nearest hundredth).
3) If the radius is 6 units, then the area is approximately 113 units (6 x 6 x 3.14 = 113.04, rounded to the nearest unit).
4) The figure is a rectangular prism.
5) Surface area is the sum of the areas of all the faces. If the width is 4 units, the length is 6 units, and the height is 3 units, then the surface area is 2(4 x 6) + 2(3 x 6) + 2(3 x 4) = 48 + 36 + 24 = 108 square units.
6) The volume of the sandbox is the area of the base (7 x 7 = 49 square feet) times the height (2 feet). Therefore, Jamilla needs to order 98 cubic feet of sand.
7) The wrapping paper needed is the sum of the area of all the faces. If the box has dimensions of 8 inches (length) x 6 inches (width) x 4 inches (height), then the wrapping paper needed is 2(8 x 6) + 2(4 x 6) + 2(4 x 8) = 96 + 48 + 64 = 208 square inches.
8) The volume of the rectangular prism is the base area (12 cm2) times the height (8 cm). Therefore, the volume is 96 cm3.