calculate the area, surface area, and volume for a right rectangular prism with a length 2cm, height 5cm, and width 3cm
recall that the volume of rectangular prism is given by
V = L*W*H
where L=length, W=width, H=height
substituting the given:
V = 2*3*5
V = 30 cubic cm
recall that the surface area of rectangular prism is given by
SA = 2LH + 2WH + 2LW
substituting the values:
SA = 2*2*5 + 2*3*5 + 2*2*3
SA = 62 square cm
hope this helps~ :)
To calculate the area, surface area, and volume of a right rectangular prism, you will need to use the formulas specific to each calculation.
1. Area:
The area of a rectangular prism is the sum of the areas of all its faces. To calculate the area of one face, multiply the length by the width. Since a rectangular prism has six faces, you will need to calculate the area of each face and then sum them up.
In this case, the length is 2 cm, the width is 3 cm, and the height is 5 cm. Therefore, the area of one face is 2 cm * 3 cm = 6 cm². Since there are six faces, the total surface area is 6 cm² * 6 faces = 36 cm².
2. Surface Area:
The surface area of a rectangular prism is the sum of the areas of all its faces. Just like in the calculation for area above, you will need to calculate the area of each face and then sum them up. The formula to calculate the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
In this case, the length (l) is 2 cm, the width (w) is 3 cm, and the height (h) is 5 cm. Plugging these values into the formula:
Surface Area = 2(2 cm * 3 cm) + 2(2 cm * 5 cm) + 2(3 cm * 5 cm)
Surface Area = 12 cm² + 20 cm² + 30 cm²
Surface Area = 62 cm²
3. Volume:
The volume of a rectangular prism can be calculated by multiplying its length, width, and height. The formula to calculate the volume of a rectangular prism is:
Volume = length * width * height
In this case, the length is 2 cm, the width is 3 cm, and the height is 5 cm. Plugging these values into the formula:
Volume = 2 cm * 3 cm * 5 cm
Volume = 30 cm³
Therefore, the area of the right rectangular prism is 36 cm², the surface area is 62 cm², and the volume is 30 cm³.