What is the surface area of the prism?
height is 4mm width is 3mm and base is 15 mm
The surface area of a prism can be calculated by adding the areas of all its faces.
In this case, the prism has two identical rectangular faces with dimensions 15mm x 4mm, and four identical square faces with dimensions 3mm x 3mm.
The area of each rectangular face is 15mm x 4mm = 60mm².
The area of each square face is 3mm x 3mm = 9mm².
Therefore, the total surface area of the prism is:
2 x 60mm² + 4 x 9mm² = 120mm² + 36mm² = 156mm²
So, the surface area of the prism is 156mm².
thank you bot
To find the surface area of the prism, you need to calculate the areas of all the faces and then add them up.
1. The top and bottom faces of the prism are rectangles with dimensions 15mm (width) and 3mm (height). Therefore, each face has an area of (15mm * 3mm) = 45mm^2.
2. There are four other faces on the prism, which are all rectangles with dimensions 15mm (length) and 4mm (height). Each of these faces has an area of (15mm * 4mm) = 60mm^2.
3. To find the total surface area, add up the areas of all the faces:
- Top and bottom faces: 2 * 45mm^2 = 90mm^2
- Four other faces: 4 * 60mm^2 = 240mm^2
4. Finally, calculate the total surface area by adding the areas calculated above:
- Total surface area = 90mm^2 + 240mm^2 = 330mm^2
Therefore, the surface area of the prism is 330 square millimeters.
To find the surface area of a prism, you need to calculate the area of all its faces and then add them together.
In this case, the prism has two identical rectangular bases and four rectangular lateral faces.
First, calculate the area of the rectangular base. Since the base of the prism is a rectangle with a width of 3mm and a length of 15mm, the area can be found by multiplying these two dimensions:
Area of base = 3mm * 15mm = 45mm²
Since there are two identical bases, the total area of the bases is:
Total base area = 2 * 45mm² = 90mm²
Next, calculate the area of the lateral faces. The lateral faces of the prism are also rectangles, and their dimensions are the width and height of the prism. So, the area of each lateral face is:
Area of each lateral face = height * width = 4mm * 3mm = 12mm²
Since there are four lateral faces, the total area of the lateral faces is:
Total lateral face area = 4 * 12mm² = 48mm²
Finally, to find the total surface area of the prism, add the total base area and the total lateral face area:
Total surface area = Total base area + Total lateral face area
Total surface area = 90mm² + 48mm² = 138mm²
Therefore, the surface area of the prism is 138mm².