The diagram shows a tetrahedron $ABCD$. $M$ is the mid-point of $CD$. $AB=4 \mathrm{m}$, $AC=3 \mathrm{m}$, $AD=3 \mathrm{m}$. Calculate $BC$.(Give the answer in $\mathrm{m}$)

The diagram shows a tetrahedron $ABCD$. $M$ is the mid-point of $CD$. $AB=4 \mathrm{m}$, $AC=3 \mathrm{m}$, $AD=3 \mathrm{m}$. Calculate $CD$(Give the answer in $\mathrm{m}$ with two decimal places)

The diagram shows a tetrahedron $ABCD$. $M$ is the mid-point of $CD$. $AB=4 \mathrm{m}$, $AC=3 \mathrm{m}$, $AD=3 \mathrm{m}$. Calculate the length of $BM$(Give the answer in $\mathrm{m}$ with two decimal places)

The diagram shows a tetrahedron $ABCD$. $M$ is the mid-point of $CD$. $AB=4 \mathrm{m}$, $AC=3 \mathrm{m}$, $AD=3 \mathrm{m}$. Calculate the angle $BCD$(Give the answer in degree measure with two decimal places)

A cuboid is $14 \mathrm{cm}$ long, $5 \mathrm{cm}$ wide and $3 \mathrm{cm}$ high. Calculate the length of the diagonal on its base.(Give the answer in $\mathrm{cm}$ with two decimal places)

A cuboid is $14 \mathrm{cm}$ long, $5 \mathrm{cm}$ wide and $3 \mathrm{cm}$ high. Calculate the length of its longest diagonal.(Give the answer in $\mathrm{cm}$ with two decimal places)

A cuboid is $14 \mathrm{cm}$ long, $5 \mathrm{cm}$ wide and $3 \mathrm{cm}$ high. Calculate the angle between the base and the longest diagonal.(Give the answer in degree measure with two decimal places)

$ABCD$ is a tetrahedral drinks carton. Triangle $ABC$ is the base and $B$ is a right angle. $D$ is vertically above $B$. And $AB=BC=6 \mathrm{cm}, BD=8 \mathrm{cm}$. Calculate length of $AC$.

$ABCD$ is a tetrahedral drinks carton. Triangle $ABC$ is the base and $B$ is a right angle. $D$ is vertically above $B$. And $AB=BC=6 \mathrm{cm}, BD=8 \mathrm{cm}$. Calculate length of $DA$.