Question

A carpenter is building a bookcase of height h, length 2h, and width w. The bookcase has two shelves. The plywood to be used for the back costs $1.50 per square foot. The top, bottom , sides, and shelves will be made of pine costing $5 per square foot. Write an equation expressing the total cost of the materials.

Enter your answer in the form: C = ahb + chw, where a, b, c are integers.

Answer 1

3h² + 35hw ;

a = 3 ; b = 2 ; c = 35

Explanation:

Given that :

Dimension of bookcase :

Height = h ; Length = 2h ; width = w

Area of backside :

Height * length

h * 2h = 2h²

Cos of back material = $1.5 per ft²

Cost = 1.5 * 2h²

Cost = 3h²

Top and bottom :

Length * width

2h * w

Side area = 3 * h * w

Total area : Top + bottom +. Side

Total area : 2hw + 2hw + 3hw = 7hw

Pine = $5 per sq foot

Total cost = $5 * 7hw

= $35hw

Entire cost, C

3h² + 35hw

From the format :

ah^b + chw,

a = 3 ; b = 2 ; c = 35