The number that indicates the extent of a region on a plane or a curved surface is known as area. The total surface area of this triangular prism is 1,782 cm².
What is the area?
The number that indicates the extent of a region on a plane or a curved surface is known as area. The area of a plane region or plane area refers to the area of a form or planar lamina, whereas the area of an open surface or the border of a three-dimensional object is referred to as surface area.
The given figure has two rectangles and two triangles, therefore, the total surface area can be written as,
[tex]\rm Total\ Surface\ Area =\text{Surface area of rectangle1} + \text{Surface area of rectangle2} + (2 \times \text{Surface area of triangle})\\[/tex]
Substitute the dimensions we will get,
[tex]\rm Total\ Surface\ Area =( 25 \times 30)+ (24 \times 25) + (2 \times \dfrac12 \times 18 \times 24)[/tex]
[tex]\rm = 750+600+432\\\\=1,782\ cm^2[/tex]
Hence, the total surface area of this triangular prism is 1,782 cm².
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