To find the surface area of the right rectangular prism, we need to calculate the area of each of the 6 faces and then add them up.
Each face of the prism has a pair of opposite faces that are congruent. So, we can calculate the area of 2 faces and then multiply by 3 to get the total surface area.
The area of the top and bottom faces (which are both rectangles with dimensions 8 yards by 6 yards) is 8 * 6 = 48 square yards for each face.
The area of the front and back faces (which are both rectangles with dimensions 4 yards by 6 yards) is 4 * 6 = 24 square yards for each face.
The area of the two side faces (which are both rectangles with dimensions 4 yards by 8 yards) is 4 * 8 = 32 square yards for each face.
Adding up all the areas: 48 + 48 + 24 + 24 + 32 + 32 = 208 square yards.
Therefore, the surface area of the right rectangular prism is 208 square yards.
Use the image to answer the question.
An illustration shows a right rectangular prism with a length of 8 yards, height of 4 yards, and width of 6 yards. The edges that are obscured are represented by dashed lines.
Find the surface area of the right rectangular prism using nets or decomposition.
(1 point)
Responses
208 yards
208 yards
208 square yards
208 square yards
104 square yards
104 square yards
192 cubic yards
1 answer