Exploring Surface Area of Prisms

What does the surface area of a three-dimensional figure represent?

• The total length of all its edges

• The sum of the areas of all its faces

• The sum of the volumes of all its faces

• The total number of faces

Which formula is used to calculate the surface area of a rectangular prism?

• 2(LW + LH + WH)

• LW + LH + WH

• 2L + 2W + 2H

• L + W + H

What is the significance of labeling the dimensions as length, width, and height in calculating the surface area of prisms?

• It changes the final surface area

• It has no significance

• It is only necessary for complex calculations

• It helps in applying the correct formula

If a rectangular prism has a length of 7, width of 9, and height of 13, what is its surface area?

• 130 inches squared

• 256 inches squared

• 325 inches squared

• 542 inches squared

What method is suggested for finding the surface area of a triangular prism?

• Using a general formula

• Calculating the volume first

• Multiplying the base area by the height

• Finding the area of each face separately

How many triangles are considered when calculating the surface area of a typical triangular prism?

• Four

• Three

• Two

• One

In the context of surface area, what does the term 'congruent' imply about the triangular faces of a prism?

• They have different sizes

• They are perpendicular to each other

• They are positioned at the base and top only

• They are identical in size and shape

If the base of a triangle in a triangular prism is 3 and the height is 2, what is the area of one triangle?

• 2.5

• 12

• 6

• 3

What is the total surface area of a triangular prism if the triangles have an area of 3 each, and the rectangles have areas of 10, 10, and 12 respectively?

• 45 cm squared

• 35 cm squared

• 38 cm squared

• 40 cm squared

Why is it important to multiply the area of the triangular faces by two when calculating the surface area of a triangular prism?

• Because it doubles the total volume

• Because each triangular face appears twice

• Because it simplifies the calculation

• Because there is only one triangular face