The total surface area of the figure can be calculated by finding the surface area of each rectangular prism separately and then adding them together.
For the smaller rectangular prism:
- There are 2 faces with dimensions 10mm x 8mm = 80mm^2 each
- There are 2 faces with dimensions 8mm x *mm = ?mm^2 each (width not given)
For the larger rectangular prism:
- There are 2 faces with dimensions 6mm x 6mm = 36mm^2 each
- There are 2 faces with dimensions 6mm x 6mm = 36mm^2 each
Total surface area = (80 + ? + 36 + 36) mm^2 = Total surface area
Since the width of the smaller rectangular prism is not given, the total surface area cannot be calculated accurately without that information.
Use the image to answer the question.
An illustration shows a three dimensional composite figure formed by a smaller rectangular prism connected to a larger rectangular prism. The top, right, and front faces are visible. The faces and edges that are not visible are indicated by dashed lines. The rectangular prism on the left has a length of 10 millimeters a height of 8 millimeters. The width of the rectangular prism is not shown, but it aligns perfectly with the width of the rectangular prism on the right. The rectangular prism on the right has a length of 6 millimeters, a width of 6 millimeters, and a height 6 of millimeters. The combined length of the two rectangular prisms measures 16 millimeters.
What is the total surface area of the figure?
(1 point)
mm2
1 answer
1 answer