Problems(1)
Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
[asy]
import three;
size(3inch);
currentprojection=orthographic(-8,15,15);
triple A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P;
A = (0,0,0);
B = (0,10,0);
C = (12,10,0);
D = (12,0,0);
E = (0,0,5);
F = (0,10,5);
G = (12,10,5);
H = (12,0,5);
I = (1,1,1);
J = (1,9,1);
K = (11,9,1);
L = (11,1,1);
M = (1,1,5);
N = (1,9,5);
O = (11,9,5);
P = (11,1,5);
//outside box far
draw(surface(A--B--C--D--cycle),white,nolight);
draw(A--B--C--D--cycle);
draw(surface(E--A--D--H--cycle),white,nolight);
draw(E--A--D--H--cycle);
draw(surface(D--C--G--H--cycle),white,nolight);
draw(D--C--G--H--cycle);
//inside box far
draw(surface(I--J--K--L--cycle),white,nolight);
draw(I--J--K--L--cycle);
draw(surface(I--L--P--M--cycle),white,nolight);
draw(I--L--P--M--cycle);
draw(surface(L--K--O--P--cycle),white,nolight);
draw(L--K--O--P--cycle);
//inside box near
draw(surface(I--J--N--M--cycle),white,nolight);
draw(I--J--N--M--cycle);
draw(surface(J--K--O--N--cycle),white,nolight);
draw(J--K--O--N--cycle);
//outside box near
draw(surface(A--B--F--E--cycle),white,nolight);
draw(A--B--F--E--cycle);
draw(surface(B--C--G--F--cycle),white,nolight);
draw(B--C--G--F--cycle);
//top
draw(surface(E--H--P--M--cycle),white,nolight);
draw(surface(E--M--N--F--cycle),white,nolight);
draw(surface(F--N--O--G--cycle),white,nolight);
draw(surface(O--G--H--P--cycle),white,nolight);
draw(M--N--O--P--cycle);
draw(E--F--G--H--cycle);
label("10",(A--B),SE);
label("12",(C--B),SW);
label("5",(F--B),W);[/asy]
<spanclass=′latex−bold′>(A)</span> 204<spanclass=′latex−bold′>(B)</span> 280<spanclass=′latex−bold′>(C)</span> 320<spanclass=′latex−bold′>(D)</span> 340<spanclass=′latex−bold′>(E)</span> 600 AMC