Question

100 points!!! please help with this math!!!

Answer 1

Answer:

See below.

Step-by-step explanation:

• Height of the prism = 9 cm
• Volume of prism = 3 x 3 x 9 + 3 x 6 x 9 = 81 + 162 = 243 cm³
• Total Surface Area = 9 x 6 + 6 x 9 + 9 x 3 + 9 x 3 + 9 x 3 + 9 x 3 + 3 x 3 + 3 x 6 + 3 x 3 + 3 x 6 = 2 x 54 + 4 x 27 + 2 x 9 + 2 x 18 = 108 + 108 + 18 + 26 = 216 + 44 = 260 cm²

Answer 2

Answer:

Height = 9 cm

Volume = 243 cm³

Surface area = 270 cm²

Step-by-step explanation:

A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).

The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.

The height of the prism is also called the length, and is the measure of the length that connects the two bases.  
So for this prism the height is 9 cm.

Area of the base = (6 × 3) + (3 × 3)

                            = 18 + 9

                            = 27 cm²

Volume of a prism = area of the base × height

                               = 27 × 9

                               = 243 cm³

Total surface area = (2 × base area) + side areas

                              = (2 × 27) + 2(6 × 9) + 4(3 × 9)

                              = 54 + 108 + 108

                              = 270 cm²