geometry
posted by lindsay .
a closed box of uniform thickness is made of wood 1cm thick. Its extenal dimensions are 6cm and 5 cm by 4 cm. Find the
a. volume of the wood used in making the box.
b. the capacity of the box, given that the cover is full length and full width
c. The interior surface area if the box is left open

geometry 
Damon
I assume the height of 4 cm includes the cover
outside box is 6 x 5 x 4
inside it is 4 x 3 x 2
volume outside = 120
volume inside = 24 (b)
so volume wood = 120  24 = 96 (a)
length = 4
width = 3
depth = 2 1 for cover = 1
so area bottom inside = 4*3 = 12
area sides = 2*4*1 = 8
area ends = 2 *3 * 1 = 6
so
12 + 8 + 6 = 26
Respond to this Question
Similar Questions

math
a cubical wooden box of internal edge 1m is made of 5cm thick wood.The box is open at the top . if the wood costs Rs. 9600 per cubic metre, find the cost of the wood required to make the box? 
optimization calculus
sandy is making a closed rectangular jewwellery box with a square base from two different woods . the wood for top and bottom costs $20/m^2. the wood for the side costs $30/m^2 . find dimensions that minimize cost of wood for a volume … 
solid mensuration
If a match box has inside dimensions of 2 in. by 1 ΒΌ in. by 5/8 in., find the useful capacity of the box. The cover is made with open ends so that the box can slide into it, the fit being snug. If the match box and cover are made … 
Maths
A closed rectangular wooden box has external dimensions 17x12x10. If the wood is 1cm thick, calculate the volume of wood required to make it. (All measurements are in Cm) 
maths
An open rectangular box measuring 28cm by 20cm by 12cm internally is made of wood 0.5 cm thick. find the volume of wood used in making box? 
math
the external dimensions of a closed box are 8cm by 5cm by 4cm. given that the thickness of the wood of which it is made is 0.5cm, find the volume of the wood used to make it. 
maths
A box 48 cm by 48 cm by 36 cm high is made of wood .5 cm thick. If the box has no lid, find the volume of wood used in making the box. 
math
an open rectangular box has external dimensions as follows: 100cm long,90cm wide and 80cm deep if it is made from wood 2cm thick, calculate the volume of wood in the box 
Calc
a large closed storage rectangular box with a base constructed with two different types of wood. the base is made up of wood $5 per square feet and the top and sides are made of wood $3 per square feet suppose the amount available … 
maths
An open rectangular box has internal dimensions 2m long, 20cm wide and 22.5cm deep. If the box is made of wood 2.5cm thick, calculate the volume of the wood in cm cube.