Answer:
Cool
Step-by-step explanation:
Answer:
240 cm²
Step-by-step explanation:
We are required to determine the surface area of the figure;
To get the area we add the are of all the surfaces;
Area of triangle;
Area = 0.5 × b × h
There are two triangles;
Therefore;
Area of the two triangles;
Area = 0.5 × 6 × 8 × 2
= 48 cm²
Area of the rectangles;
Area of a rectangle = Length × width
Area of the first rectangle;
= 6 cm × 8 cm
= 48 cm²
Area of the second rectangle
= 8 cm × 8 cm
= 64 cm²
Area of the third rectangle
= 10 cm × 8 cm
= 80 cm²
The total surface area will be;
Area = 48 cm² + 48 cm² + 64 cm² + 80 cm²
= 240 cm²
The volume of a prism is given by:
We know that the height is x. The length is 25 shorter than x, this can be express as:
The width is 14 longer than x, this can be express as:
Plugging the expressions for the length, the width and the height we have that:
Therefore, the volume of the prism is:
Answer:
-13/4
Step-by-step explanation:
10-(-3)=13
-2-2=-4
13/-4
Answer: 7 π r² + π r³
Explanation:
1) The general formula for the volumen, V, of a cylinder with radius r and height h is:
V = π r² h
2) Now you have the condition that the height is 7 inches greater than the radius, that is:
h = 7 + r
3) Replace h with its expression
V = π r² (7 + r)
4) Expand the product (use distributive property):
V = π (7r²) + π r³ = 7 π r² + π r³
Answer: 7 π r² + π r³
