Question

you work for a toy company in the toddler division. You designed a 6 pointed star block. (I've included a screenshot) It will be an addition to several other shapes that are more traditional. Your boss wants you to find the volume of this shape so that the company can purchase enough plastic to make 1,000,000 blocks. (Question#1 what is the volume of the block?) (Question#2 how much plastic does the company need to order considering that 5% of the plastic gets wasted in the process?)

Answer 1

Answer: 1. 31.8 in³

2. 33501509.04 in³

Explanation:

Volume = base area × height

Base area:

6 triangles + hexagon

6(½×1.75×1.75×sin60) + (3sqrt(3)/2 × 1.75²)

15.91321679

Volume = 15.91321679 × 2

31.82643359 in³

For a 1000000 blocks:

31.82643359 × 1000000

31826433.59 in³

5% wasted, 95% consumed

95% of X = 31826433.59

X = 31826433.59/0.95

X = 33501509.04 in³

Explanation:

Answer 2

1. 31.8 in³

2. 33501509.04 in³

Explanation:

Volume = base area × height

Base area:

6 triangles + hexagon

6(½×1.75×1.75×sin60) + (3sqrt(3)/2 × 1.75²)

15.91321679

Volume = 15.91321679 × 2

31.82643359 in³

For a 1000000 blocks:

31.82643359 × 1000000

31826433.59 in³

5% wasted, 95% consumed

95% of X = 31826433.59

X = 31826433.59/0.95

X = 33501509.04 in³