A candy bar box is in the shape of a triangular prism. The volume of the box is 3,240 cubic centimeters Part a

A. Height = 9 cm

B. Total amount of card board used = 1836 cm²

Step-by-step explanation:

P.S - The exact question is -

Given - A candy bar box is in the shape of a triangular prism. The volume

            of the box is 3,240 cubic centi-meters.

             A triangular prism is shown with base of triangle labeled 24 cm,

             sides of the triangle labeled 15 cm, and length of the box equal

              to 30 cm.

To find -   Part A: What is the height of the base? Show your work

                Part B: What is the approximate amount of cardboard used  

                            to make the candy box?

Proof -

A.)

As given,

Length of the prism = 30 cm

Breadth of the prism = 24 cm

Volume of the prism = 3,240 cm³

Let Height of the prism = x

Now,

As Volume = ×Length×Breadth×Height

⇒3,240 = ×30×24×x

⇒3,240 = 30×12×x

⇒3,240 =360×x

⇒x = = 9

∴ we get

Height of the prism , x = 9 cm

B.)

Area of triangle =  ×Base×Height

                          =  ×24×9 =  12×9 = 108 cm²

⇒Area of 1 triangle = 108 cm²

⇒Area of 2 triangles = 2×108 = 216 cm²

Now,

We have a rectangle of length 24 cm and Breadth 30 cm

⇒Area of rectangle = Length × Breadth

                                = 24 × 30 = 720 cm²

⇒Area of rectangle = 720 cm²

Now,

We have 2 rectangle of length 30 cm and breadth 15 cm

⇒Area of rectangle = Length × Breadth

                                 = 30 × 15 = 450 cm²

⇒Area of 1 rectangle = 450 cm²

⇒Area of 2 rectangles = 2× 450 cm² = 900 cm²

∴ we get

Total amount of card board used = 216 + 720 + 900 cm² = 1836 cm²

oof tough question

step-by-step explanation:

sorry i can't ya : c gl tho

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w