A carpenter builds tables and chairs of various sizes and sells them to local businesses. She created the following chart for he
r own records: The graph will be in the image.
Her first order this month is from a restaurant that is installing new tables; they want 8 more large tables than small tables. She has $236 to spend on all of the materials for this order.
Using this information, write a system of equations that can be used to determine the number of small tables and the number of large tables the designer will make. Write your answer in the box below using the equation editor tool.
Her first order this month is from a restaurant that is installing new tables; they want 8 more large tables than small tables. She has $236 to spend on all of the materials for this order.
Using this information, write a system of equations that can be used to determine the number of small tables and the number of large tables the designer will make. Write your answer in the box below using the equation editor tool.
1 answer:
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The figure of the prism is attached below.
The total surface area of the prism equals the sum of areas of two triangles and the three rectangles.
Surface Area of Prism = Area of 2 Triangles + Area of 3 Rectangles.
Area of a Triangle = 0.5 x Base x Height
Area of a Triangle = 0.5 x 3 x 4 = 6 square units
There are 3 rectangles. From the figure we can see that the bottom most rectangle has the dimensions 4 by 6. The left most rectangle has the dimensions 3 x 6 and the right most rectangle has the dimensions 5 by 6.
So, the Area of 3 rectangles will be = (4 x 6) + (3 x 6) + (5 x 6) = 72 square units
The Surface Area of the prism will be:
Surface Area = 2 (4) + 72 = 84 square units
Thus the correct answer is option A
The total surface area of the prism equals the sum of areas of two triangles and the three rectangles.
Surface Area of Prism = Area of 2 Triangles + Area of 3 Rectangles.
Area of a Triangle = 0.5 x Base x Height
Area of a Triangle = 0.5 x 3 x 4 = 6 square units
There are 3 rectangles. From the figure we can see that the bottom most rectangle has the dimensions 4 by 6. The left most rectangle has the dimensions 3 x 6 and the right most rectangle has the dimensions 5 by 6.
So, the Area of 3 rectangles will be = (4 x 6) + (3 x 6) + (5 x 6) = 72 square units
The Surface Area of the prism will be:
Surface Area = 2 (4) + 72 = 84 square units
Thus the correct answer is option A